Whakaoti i te (4-x^{2})^2(x^3-2)+x^3(-x^4-2)+32

$$( 4 - x ^ { 2 } ) ^ { 2 } ( x ^ { 3 } - 2 ) + x ^ { 3 } ( - x ^ { 4 } - 2 ) + 32$$

Aromātai

$$2x^{2}\left(8+7x-x^{2}-4x^{3}\right)$$

Ngā Upane Otinga

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

$$\left(16-8x^{2}+\left(x^{2}\right)^{2}\right)\left(x^{3}-2\right)+x^{3}\left(-x^{4}-2\right)+32$$

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

$$\left(16-8x^{2}+x^{4}\right)\left(x^{3}-2\right)+x^{3}\left(-x^{4}-2\right)+32$$

Whakamahia te āhuatanga tohatoha hei whakarea te 16-8x^{2}+x^{4} ki te x^{3}-2.

$$16x^{3}-32-8x^{5}+16x^{2}+x^{7}-2x^{4}+x^{3}\left(-x^{4}-2\right)+32$$

Whakamahia te āhuatanga tohatoha hei whakarea te x^{3} ki te -x^{4}-2.

$$16x^{3}-32-8x^{5}+16x^{2}+x^{7}-2x^{4}+x^{3}\left(-x^{4}\right)-2x^{3}+32$$

Pahekotia te 16x^{3} me -2x^{3}, ka 14x^{3}.

$$14x^{3}-32-8x^{5}+16x^{2}+x^{7}-2x^{4}+x^{3}\left(-x^{4}\right)+32$$

Tāpirihia te -32 ki te 32, ka 0.

$$14x^{3}-8x^{5}+16x^{2}+x^{7}-2x^{4}+x^{3}\left(-x^{4}\right)$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 4 kia riro ai te 7.

$$14x^{3}-8x^{5}+16x^{2}+x^{7}-2x^{4}+x^{7}\left(-1\right)$$

Pahekotia te x^{7} me x^{7}\left(-1\right), ka 0.

$$14x^{3}-8x^{5}+16x^{2}-2x^{4}$$

Whakaroha

$$16x^{2}+14x^{3}-2x^{4}-8x^{5}$$

Ngā Upane Otinga

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

$$\left(16-8x^{2}+\left(x^{2}\right)^{2}\right)\left(x^{3}-2\right)+x^{3}\left(-x^{4}-2\right)+32$$

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

$$\left(16-8x^{2}+x^{4}\right)\left(x^{3}-2\right)+x^{3}\left(-x^{4}-2\right)+32$$

Whakamahia te āhuatanga tohatoha hei whakarea te 16-8x^{2}+x^{4} ki te x^{3}-2.

$$16x^{3}-32-8x^{5}+16x^{2}+x^{7}-2x^{4}+x^{3}\left(-x^{4}-2\right)+32$$

Whakamahia te āhuatanga tohatoha hei whakarea te x^{3} ki te -x^{4}-2.

$$16x^{3}-32-8x^{5}+16x^{2}+x^{7}-2x^{4}+x^{3}\left(-x^{4}\right)-2x^{3}+32$$

Pahekotia te 16x^{3} me -2x^{3}, ka 14x^{3}.

$$14x^{3}-32-8x^{5}+16x^{2}+x^{7}-2x^{4}+x^{3}\left(-x^{4}\right)+32$$

Tāpirihia te -32 ki te 32, ka 0.

$$14x^{3}-8x^{5}+16x^{2}+x^{7}-2x^{4}+x^{3}\left(-x^{4}\right)$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 4 kia riro ai te 7.

$$14x^{3}-8x^{5}+16x^{2}+x^{7}-2x^{4}+x^{7}\left(-1\right)$$

Pahekotia te x^{7} me x^{7}\left(-1\right), ka 0.

$$14x^{3}-8x^{5}+16x^{2}-2x^{4}$$