Whakaoti i te 4(1/x+9-1/x)+4(1/x+9-1/x)+4x(frac{-1}{(x+9)^2}+frac{1}{x^2})

$$4 ( \frac { 1 } { x + 9 } - \frac { 1 } { x } ) + 4 ( \frac { 1 } { x + 9 } - \frac { 1 } { x } ) + 4 x ( \frac { - 1 } { ( x + 9 ) ^ { 2 } } + \frac { 1 } { x ^ { 2 } } )$$

Aromātai

$$-\frac{324}{x\left(x+9\right)^{2}}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x+9 me x ko x\left(x+9\right). Whakareatia \frac{1}{x+9} ki te \frac{x}{x}. Whakareatia \frac{1}{x} ki te \frac{x+9}{x+9}.

$$4\left(\frac{x}{x\left(x+9\right)}-\frac{x+9}{x\left(x+9\right)}\right)+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Tā te mea he rite te tauraro o \frac{x}{x\left(x+9\right)} me \frac{x+9}{x\left(x+9\right)}, me tango rāua mā te tango i ō raua taurunga.

$$4\times \frac{x-\left(x+9\right)}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Mahia ngā whakarea i roto o x-\left(x+9\right).

$$4\times \frac{x-x-9}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Whakakotahitia ngā kupu rite i x-x-9.

$$4\times \frac{-9}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Tuhia te 4\times \frac{-9}{x\left(x+9\right)} hei hautanga kotahi.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x+9 me x ko x\left(x+9\right). Whakareatia \frac{1}{x+9} ki te \frac{x}{x}. Whakareatia \frac{1}{x} ki te \frac{x+9}{x+9}.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\left(\frac{x}{x\left(x+9\right)}-\frac{x+9}{x\left(x+9\right)}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Tā te mea he rite te tauraro o \frac{x}{x\left(x+9\right)} me \frac{x+9}{x\left(x+9\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\times \frac{x-\left(x+9\right)}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Mahia ngā whakarea i roto o x-\left(x+9\right).

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\times \frac{x-x-9}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Whakakotahitia ngā kupu rite i x-x-9.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\times \frac{-9}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Tuhia te 4\times \frac{-9}{x\left(x+9\right)} hei hautanga kotahi.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+\frac{4\left(-9\right)}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Pahekotia te \frac{4\left(-9\right)}{x\left(x+9\right)} me \frac{4\left(-9\right)}{x\left(x+9\right)}, ka 2\times \frac{4\left(-9\right)}{x\left(x+9\right)}.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(x+9\right)^{2} me x^{2} ko x^{2}\left(x+9\right)^{2}. Whakareatia \frac{-1}{\left(x+9\right)^{2}} ki te \frac{x^{2}}{x^{2}}. Whakareatia \frac{1}{x^{2}} ki te \frac{\left(x+9\right)^{2}}{\left(x+9\right)^{2}}.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\left(\frac{-x^{2}}{x^{2}\left(x+9\right)^{2}}+\frac{\left(x+9\right)^{2}}{x^{2}\left(x+9\right)^{2}}\right)$$

Tā te mea he rite te tauraro o \frac{-x^{2}}{x^{2}\left(x+9\right)^{2}} me \frac{\left(x+9\right)^{2}}{x^{2}\left(x+9\right)^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\times \frac{-x^{2}+\left(x+9\right)^{2}}{x^{2}\left(x+9\right)^{2}}$$

Mahia ngā whakarea i roto o -x^{2}+\left(x+9\right)^{2}.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\times \frac{-x^{2}+x^{2}+18x+81}{x^{2}\left(x+9\right)^{2}}$$

Whakakotahitia ngā kupu rite i -x^{2}+x^{2}+18x+81.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\times \frac{18x+81}{x^{2}\left(x+9\right)^{2}}$$

Tuhia te 4\times \frac{18x+81}{x^{2}\left(x+9\right)^{2}} hei hautanga kotahi.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+\frac{4\left(18x+81\right)}{x^{2}\left(x+9\right)^{2}}x$$

Whakareatia te 4 ki te -9, ka -36.

$$2\times \frac{-36}{x\left(x+9\right)}+\frac{4\left(18x+81\right)}{x^{2}\left(x+9\right)^{2}}x$$

Tuhia te 2\times \frac{-36}{x\left(x+9\right)} hei hautanga kotahi.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{4\left(18x+81\right)}{x^{2}\left(x+9\right)^{2}}x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 18x+81.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{72x+324}{x^{2}\left(x+9\right)^{2}}x$$

Tuhia te \frac{72x+324}{x^{2}\left(x+9\right)^{2}}x hei hautanga kotahi.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{\left(72x+324\right)x}{x^{2}\left(x+9\right)^{2}}$$

Me whakakore tahi te x i te taurunga me te tauraro.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{72x+324}{x\left(x+9\right)^{2}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x+9\right) me x\left(x+9\right)^{2} ko x\left(x+9\right)^{2}. Whakareatia \frac{2\left(-36\right)}{x\left(x+9\right)} ki te \frac{x+9}{x+9}.

$$\frac{2\left(-36\right)\left(x+9\right)}{x\left(x+9\right)^{2}}+\frac{72x+324}{x\left(x+9\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{2\left(-36\right)\left(x+9\right)}{x\left(x+9\right)^{2}} me \frac{72x+324}{x\left(x+9\right)^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2\left(-36\right)\left(x+9\right)+72x+324}{x\left(x+9\right)^{2}}$$

Mahia ngā whakarea i roto o 2\left(-36\right)\left(x+9\right)+72x+324.

$$\frac{-72x-648+72x+324}{x\left(x+9\right)^{2}}$$

Whakakotahitia ngā kupu rite i -72x-648+72x+324.

$$\frac{-324}{x\left(x+9\right)^{2}}$$

Whakarohaina te x\left(x+9\right)^{2}.

$$\frac{-324}{x^{3}+18x^{2}+81x}$$

Whakaroha

$$-\frac{324}{x\left(x+9\right)^{2}}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x+9 me x ko x\left(x+9\right). Whakareatia \frac{1}{x+9} ki te \frac{x}{x}. Whakareatia \frac{1}{x} ki te \frac{x+9}{x+9}.

$$4\left(\frac{x}{x\left(x+9\right)}-\frac{x+9}{x\left(x+9\right)}\right)+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Tā te mea he rite te tauraro o \frac{x}{x\left(x+9\right)} me \frac{x+9}{x\left(x+9\right)}, me tango rāua mā te tango i ō raua taurunga.

$$4\times \frac{x-\left(x+9\right)}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Mahia ngā whakarea i roto o x-\left(x+9\right).

$$4\times \frac{x-x-9}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Whakakotahitia ngā kupu rite i x-x-9.

$$4\times \frac{-9}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Tuhia te 4\times \frac{-9}{x\left(x+9\right)} hei hautanga kotahi.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x+9 me x ko x\left(x+9\right). Whakareatia \frac{1}{x+9} ki te \frac{x}{x}. Whakareatia \frac{1}{x} ki te \frac{x+9}{x+9}.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\left(\frac{x}{x\left(x+9\right)}-\frac{x+9}{x\left(x+9\right)}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Tā te mea he rite te tauraro o \frac{x}{x\left(x+9\right)} me \frac{x+9}{x\left(x+9\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\times \frac{x-\left(x+9\right)}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Mahia ngā whakarea i roto o x-\left(x+9\right).

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\times \frac{x-x-9}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Whakakotahitia ngā kupu rite i x-x-9.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\times \frac{-9}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Tuhia te 4\times \frac{-9}{x\left(x+9\right)} hei hautanga kotahi.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+\frac{4\left(-9\right)}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Pahekotia te \frac{4\left(-9\right)}{x\left(x+9\right)} me \frac{4\left(-9\right)}{x\left(x+9\right)}, ka 2\times \frac{4\left(-9\right)}{x\left(x+9\right)}.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(x+9\right)^{2} me x^{2} ko x^{2}\left(x+9\right)^{2}. Whakareatia \frac{-1}{\left(x+9\right)^{2}} ki te \frac{x^{2}}{x^{2}}. Whakareatia \frac{1}{x^{2}} ki te \frac{\left(x+9\right)^{2}}{\left(x+9\right)^{2}}.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\left(\frac{-x^{2}}{x^{2}\left(x+9\right)^{2}}+\frac{\left(x+9\right)^{2}}{x^{2}\left(x+9\right)^{2}}\right)$$

Tā te mea he rite te tauraro o \frac{-x^{2}}{x^{2}\left(x+9\right)^{2}} me \frac{\left(x+9\right)^{2}}{x^{2}\left(x+9\right)^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\times \frac{-x^{2}+\left(x+9\right)^{2}}{x^{2}\left(x+9\right)^{2}}$$

Mahia ngā whakarea i roto o -x^{2}+\left(x+9\right)^{2}.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\times \frac{-x^{2}+x^{2}+18x+81}{x^{2}\left(x+9\right)^{2}}$$

Whakakotahitia ngā kupu rite i -x^{2}+x^{2}+18x+81.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\times \frac{18x+81}{x^{2}\left(x+9\right)^{2}}$$

Tuhia te 4\times \frac{18x+81}{x^{2}\left(x+9\right)^{2}} hei hautanga kotahi.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+\frac{4\left(18x+81\right)}{x^{2}\left(x+9\right)^{2}}x$$

Whakareatia te 4 ki te -9, ka -36.

$$2\times \frac{-36}{x\left(x+9\right)}+\frac{4\left(18x+81\right)}{x^{2}\left(x+9\right)^{2}}x$$

Tuhia te 2\times \frac{-36}{x\left(x+9\right)} hei hautanga kotahi.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{4\left(18x+81\right)}{x^{2}\left(x+9\right)^{2}}x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 18x+81.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{72x+324}{x^{2}\left(x+9\right)^{2}}x$$

Tuhia te \frac{72x+324}{x^{2}\left(x+9\right)^{2}}x hei hautanga kotahi.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{\left(72x+324\right)x}{x^{2}\left(x+9\right)^{2}}$$

Me whakakore tahi te x i te taurunga me te tauraro.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{72x+324}{x\left(x+9\right)^{2}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x+9\right) me x\left(x+9\right)^{2} ko x\left(x+9\right)^{2}. Whakareatia \frac{2\left(-36\right)}{x\left(x+9\right)} ki te \frac{x+9}{x+9}.

$$\frac{2\left(-36\right)\left(x+9\right)}{x\left(x+9\right)^{2}}+\frac{72x+324}{x\left(x+9\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{2\left(-36\right)\left(x+9\right)}{x\left(x+9\right)^{2}} me \frac{72x+324}{x\left(x+9\right)^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2\left(-36\right)\left(x+9\right)+72x+324}{x\left(x+9\right)^{2}}$$

Mahia ngā whakarea i roto o 2\left(-36\right)\left(x+9\right)+72x+324.

$$\frac{-72x-648+72x+324}{x\left(x+9\right)^{2}}$$

Whakakotahitia ngā kupu rite i -72x-648+72x+324.

$$\frac{-324}{x\left(x+9\right)^{2}}$$

Whakarohaina te x\left(x+9\right)^{2}.

$$\frac{-324}{x^{3}+18x^{2}+81x}$$