Whakaoti i te f(x)=-4(-4x^2+16)^3+5

$$f ( x ) = - 4 ( - 4 x ^ { 2 } + 16 ) ^ { 3 } + 5$$

Aromātai

$$-256\left(4-x^{2}\right)^{3}+5$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} hei whakaroha \left(-4x^{2}+16\right)^{3}.

$$-4\left(-64\left(x^{2}\right)^{3}+768\left(x^{2}\right)^{2}-3072x^{2}+4096\right)+5$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

$$-4\left(-64x^{6}+768\left(x^{2}\right)^{2}-3072x^{2}+4096\right)+5$$

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

$$-4\left(-64x^{6}+768x^{4}-3072x^{2}+4096\right)+5$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te -64x^{6}+768x^{4}-3072x^{2}+4096.

$$256x^{6}-3072x^{4}+12288x^{2}-16384+5$$

Tāpirihia te -16384 ki te 5, ka -16379.

$$256x^{6}-3072x^{4}+12288x^{2}-16379$$

Whakaroha

$$256x^{6}-3072x^{4}+12288x^{2}-16379$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} hei whakaroha \left(-4x^{2}+16\right)^{3}.

$$-4\left(-64\left(x^{2}\right)^{3}+768\left(x^{2}\right)^{2}-3072x^{2}+4096\right)+5$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

$$-4\left(-64x^{6}+768\left(x^{2}\right)^{2}-3072x^{2}+4096\right)+5$$

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

$$-4\left(-64x^{6}+768x^{4}-3072x^{2}+4096\right)+5$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te -64x^{6}+768x^{4}-3072x^{2}+4096.

$$256x^{6}-3072x^{4}+12288x^{2}-16384+5$$

Tāpirihia te -16384 ki te 5, ka -16379.

$$256x^{6}-3072x^{4}+12288x^{2}-16379$$