Whakaoti i te (1/x-3+2/y)*(x/4+y)

$$( \frac { 1 } { x - 3 } + \frac { 2 } { y } ) \times ( \frac { x } { 4 } + y )$$

Aromātai

$$\frac{\left(x+4y\right)\left(2x+y-6\right)}{4y\left(x-3\right)}$$

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-3 me y ko y\left(x-3\right). Whakareatia \frac{1}{x-3} ki te \frac{y}{y}. Whakareatia \frac{2}{y} ki te \frac{x-3}{x-3}.

$$\left(\frac{y}{y\left(x-3\right)}+\frac{2\left(x-3\right)}{y\left(x-3\right)}\right)\left(\frac{x}{4}+y\right)$$

Tā te mea he rite te tauraro o \frac{y}{y\left(x-3\right)} me \frac{2\left(x-3\right)}{y\left(x-3\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{y+2\left(x-3\right)}{y\left(x-3\right)}\left(\frac{x}{4}+y\right)$$

Mahia ngā whakarea i roto o y+2\left(x-3\right).

$$\frac{y+2x-6}{y\left(x-3\right)}\left(\frac{x}{4}+y\right)$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia y ki te \frac{4}{4}.

$$\frac{y+2x-6}{y\left(x-3\right)}\left(\frac{x}{4}+\frac{4y}{4}\right)$$

Tā te mea he rite te tauraro o \frac{x}{4} me \frac{4y}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{y+2x-6}{y\left(x-3\right)}\times \frac{x+4y}{4}$$

Me whakarea te \frac{y+2x-6}{y\left(x-3\right)} ki te \frac{x+4y}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(y+2x-6\right)\left(x+4y\right)}{y\left(x-3\right)\times 4}$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o y+2x-6 ki ia tau o x+4y.

$$\frac{yx+4y^{2}+2x^{2}+8xy-6x-24y}{y\left(x-3\right)\times 4}$$

Pahekotia te yx me 8xy, ka 9yx.

$$\frac{9yx+4y^{2}+2x^{2}-6x-24y}{y\left(x-3\right)\times 4}$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x-3.

$$\frac{9yx+4y^{2}+2x^{2}-6x-24y}{\left(yx-3y\right)\times 4}$$

Whakamahia te āhuatanga tohatoha hei whakarea te yx-3y ki te 4.

$$\frac{9yx+4y^{2}+2x^{2}-6x-24y}{4yx-12y}$$

Whakaroha

$$\frac{2x^{2}+9xy-6x+4y^{2}-24y}{4y\left(x-3\right)}$$

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-3 me y ko y\left(x-3\right). Whakareatia \frac{1}{x-3} ki te \frac{y}{y}. Whakareatia \frac{2}{y} ki te \frac{x-3}{x-3}.

$$\left(\frac{y}{y\left(x-3\right)}+\frac{2\left(x-3\right)}{y\left(x-3\right)}\right)\left(\frac{x}{4}+y\right)$$

Tā te mea he rite te tauraro o \frac{y}{y\left(x-3\right)} me \frac{2\left(x-3\right)}{y\left(x-3\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{y+2\left(x-3\right)}{y\left(x-3\right)}\left(\frac{x}{4}+y\right)$$

Mahia ngā whakarea i roto o y+2\left(x-3\right).

$$\frac{y+2x-6}{y\left(x-3\right)}\left(\frac{x}{4}+y\right)$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia y ki te \frac{4}{4}.

$$\frac{y+2x-6}{y\left(x-3\right)}\left(\frac{x}{4}+\frac{4y}{4}\right)$$

Tā te mea he rite te tauraro o \frac{x}{4} me \frac{4y}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{y+2x-6}{y\left(x-3\right)}\times \frac{x+4y}{4}$$

Me whakarea te \frac{y+2x-6}{y\left(x-3\right)} ki te \frac{x+4y}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(y+2x-6\right)\left(x+4y\right)}{y\left(x-3\right)\times 4}$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o y+2x-6 ki ia tau o x+4y.

$$\frac{yx+4y^{2}+2x^{2}+8xy-6x-24y}{y\left(x-3\right)\times 4}$$

Pahekotia te yx me 8xy, ka 9yx.

$$\frac{9yx+4y^{2}+2x^{2}-6x-24y}{y\left(x-3\right)\times 4}$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x-3.

$$\frac{9yx+4y^{2}+2x^{2}-6x-24y}{\left(yx-3y\right)\times 4}$$

Whakamahia te āhuatanga tohatoha hei whakarea te yx-3y ki te 4.

$$\frac{9yx+4y^{2}+2x^{2}-6x-24y}{4yx-12y}$$