Whakaoti i te (-9k^2/4k^2+3)^2-4-6k/4k^2+3

$$( \frac { - 9 k ^ { 2 } } { 4 k ^ { 2 } + 3 } ) ^ { 2 } - 4 \frac { - 6 k } { 4 k ^ { 2 } + 3 }$$

Aromātai

$$\frac{3k\left(27k^{3}+32k^{2}+24\right)}{\left(4k^{2}+3\right)^{2}}$$

Ngā Hipanga Rongoā Poto

Kia whakarewa i te \frac{-9k^{2}}{4k^{2}+3} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(-9k^{2}\right)^{2}}{\left(4k^{2}+3\right)^{2}}-4\times \frac{-6k}{4k^{2}+3}$$

Tuhia te 4\times \frac{-6k}{4k^{2}+3} hei hautanga kotahi.

$$\frac{\left(-9k^{2}\right)^{2}}{\left(4k^{2}+3\right)^{2}}-\frac{4\left(-6\right)k}{4k^{2}+3}$$

Whakareatia te 4 ki te -6, ka -24.

$$\frac{\left(-9k^{2}\right)^{2}}{\left(4k^{2}+3\right)^{2}}-\frac{-24k}{4k^{2}+3}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(4k^{2}+3\right)^{2} me 4k^{2}+3 ko \left(4k^{2}+3\right)^{2}. Whakareatia \frac{-24k}{4k^{2}+3} ki te \frac{4k^{2}+3}{4k^{2}+3}.

$$\frac{\left(-9k^{2}\right)^{2}}{\left(4k^{2}+3\right)^{2}}-\frac{-24k\left(4k^{2}+3\right)}{\left(4k^{2}+3\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{\left(-9k^{2}\right)^{2}}{\left(4k^{2}+3\right)^{2}} me \frac{-24k\left(4k^{2}+3\right)}{\left(4k^{2}+3\right)^{2}}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\left(-9k^{2}\right)^{2}-\left(-24k\left(4k^{2}+3\right)\right)}{\left(4k^{2}+3\right)^{2}}$$

Whakarohaina te \left(-9k^{2}\right)^{2}.

$$\frac{\left(-9\right)^{2}\left(k^{2}\right)^{2}}{\left(4k^{2}+3\right)^{2}}-\frac{-24k}{4k^{2}+3}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$\frac{\left(-9\right)^{2}k^{4}}{\left(4k^{2}+3\right)^{2}}-\frac{-24k}{4k^{2}+3}$$

Tātaihia te -9 mā te pū o 2, kia riro ko 81.

$$\frac{81k^{4}}{\left(4k^{2}+3\right)^{2}}-\frac{-24k}{4k^{2}+3}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(4k^{2}+3\right)^{2} me 4k^{2}+3 ko \left(4k^{2}+3\right)^{2}. Whakareatia \frac{-24k}{4k^{2}+3} ki te \frac{4k^{2}+3}{4k^{2}+3}.

$$\frac{81k^{4}}{\left(4k^{2}+3\right)^{2}}-\frac{-24k\left(4k^{2}+3\right)}{\left(4k^{2}+3\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{81k^{4}}{\left(4k^{2}+3\right)^{2}} me \frac{-24k\left(4k^{2}+3\right)}{\left(4k^{2}+3\right)^{2}}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{81k^{4}-\left(-24k\left(4k^{2}+3\right)\right)}{\left(4k^{2}+3\right)^{2}}$$

Mahia ngā whakarea i roto o 81k^{4}-\left(-24k\left(4k^{2}+3\right)\right).

$$\frac{81k^{4}+96k^{3}+72k}{\left(4k^{2}+3\right)^{2}}$$

Whakarohaina te \left(4k^{2}+3\right)^{2}.

$$\frac{81k^{4}+96k^{3}+72k}{16k^{4}+24k^{2}+9}$$

Whakaroha

$$\frac{3\left(27k^{4}+32k^{3}+24k\right)}{\left(4k^{2}+3\right)^{2}}$$

Ngā Hipanga Rongoā Poto

Kia whakarewa i te \frac{-9k^{2}}{4k^{2}+3} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(-9k^{2}\right)^{2}}{\left(4k^{2}+3\right)^{2}}-4\times \frac{-6k}{4k^{2}+3}$$

Tuhia te 4\times \frac{-6k}{4k^{2}+3} hei hautanga kotahi.

$$\frac{\left(-9k^{2}\right)^{2}}{\left(4k^{2}+3\right)^{2}}-\frac{4\left(-6\right)k}{4k^{2}+3}$$

Whakareatia te 4 ki te -6, ka -24.

$$\frac{\left(-9k^{2}\right)^{2}}{\left(4k^{2}+3\right)^{2}}-\frac{-24k}{4k^{2}+3}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(4k^{2}+3\right)^{2} me 4k^{2}+3 ko \left(4k^{2}+3\right)^{2}. Whakareatia \frac{-24k}{4k^{2}+3} ki te \frac{4k^{2}+3}{4k^{2}+3}.

$$\frac{\left(-9k^{2}\right)^{2}}{\left(4k^{2}+3\right)^{2}}-\frac{-24k\left(4k^{2}+3\right)}{\left(4k^{2}+3\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{\left(-9k^{2}\right)^{2}}{\left(4k^{2}+3\right)^{2}} me \frac{-24k\left(4k^{2}+3\right)}{\left(4k^{2}+3\right)^{2}}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\left(-9k^{2}\right)^{2}-\left(-24k\left(4k^{2}+3\right)\right)}{\left(4k^{2}+3\right)^{2}}$$

Whakarohaina te \left(-9k^{2}\right)^{2}.

$$\frac{\left(-9\right)^{2}\left(k^{2}\right)^{2}}{\left(4k^{2}+3\right)^{2}}-\frac{-24k}{4k^{2}+3}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$\frac{\left(-9\right)^{2}k^{4}}{\left(4k^{2}+3\right)^{2}}-\frac{-24k}{4k^{2}+3}$$

Tātaihia te -9 mā te pū o 2, kia riro ko 81.

$$\frac{81k^{4}}{\left(4k^{2}+3\right)^{2}}-\frac{-24k}{4k^{2}+3}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(4k^{2}+3\right)^{2} me 4k^{2}+3 ko \left(4k^{2}+3\right)^{2}. Whakareatia \frac{-24k}{4k^{2}+3} ki te \frac{4k^{2}+3}{4k^{2}+3}.

$$\frac{81k^{4}}{\left(4k^{2}+3\right)^{2}}-\frac{-24k\left(4k^{2}+3\right)}{\left(4k^{2}+3\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{81k^{4}}{\left(4k^{2}+3\right)^{2}} me \frac{-24k\left(4k^{2}+3\right)}{\left(4k^{2}+3\right)^{2}}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{81k^{4}-\left(-24k\left(4k^{2}+3\right)\right)}{\left(4k^{2}+3\right)^{2}}$$

Mahia ngā whakarea i roto o 81k^{4}-\left(-24k\left(4k^{2}+3\right)\right).

$$\frac{81k^{4}+96k^{3}+72k}{\left(4k^{2}+3\right)^{2}}$$

Whakarohaina te \left(4k^{2}+3\right)^{2}.

$$\frac{81k^{4}+96k^{3}+72k}{16k^{4}+24k^{2}+9}$$