Whakaoti i te a^2+2ab+8^2/(x-2)^2-x^2+4x-4=

$$\frac { a ^ { 2 } + 2 a b + 8 ^ { 2 } } { ( x - 2 ) ^ { 2 } } - x ^ { 2 } + 4 x - 4 =$$

Aromātai

$$\frac{-\left(x-2\right)^{4}+2ab+a^{2}+64}{\left(x-2\right)^{2}}$$

Ngā Hipanga Rongoā Poto

Tātaihia te 8 mā te pū o 2, kia riro ko 64.

$$\frac{a^{2}+2ab+64}{\left(x-2\right)^{2}}-x^{2}+4x-4$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia -x^{2}+4x-4 ki te \frac{\left(x-2\right)^{2}}{\left(x-2\right)^{2}}.

$$\frac{a^{2}+2ab+64}{\left(x-2\right)^{2}}+\frac{\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}}{\left(x-2\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{a^{2}+2ab+64}{\left(x-2\right)^{2}} me \frac{\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}}{\left(x-2\right)^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{a^{2}+2ab+64+\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}}{\left(x-2\right)^{2}}$$

Mahia ngā whakarea i roto o a^{2}+2ab+64+\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}.

$$\frac{a^{2}+2ab+64-x^{4}+4x^{3}-4x^{2}+4x^{3}-16x^{2}+16x-4x^{2}+16x-16}{\left(x-2\right)^{2}}$$

Whakakotahitia ngā kupu rite i a^{2}+2ab+64-x^{4}+4x^{3}-4x^{2}+4x^{3}-16x^{2}+16x-4x^{2}+16x-16.

$$\frac{a^{2}+2ab-24x^{2}+48-x^{4}+8x^{3}+32x}{\left(x-2\right)^{2}}$$

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

$$\frac{a^{2}+2ab-24x^{2}+48-x^{4}+8x^{3}+32x}{x^{2}-4x+4}$$

Whakaroha

$$\frac{48+a^{2}+2ab+32x-24x^{2}+8x^{3}-x^{4}}{\left(x-2\right)^{2}}$$

Ngā Hipanga Rongoā Poto

Tātaihia te 8 mā te pū o 2, kia riro ko 64.

$$\frac{a^{2}+2ab+64}{\left(x-2\right)^{2}}-x^{2}+4x-4$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia -x^{2}+4x-4 ki te \frac{\left(x-2\right)^{2}}{\left(x-2\right)^{2}}.

$$\frac{a^{2}+2ab+64}{\left(x-2\right)^{2}}+\frac{\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}}{\left(x-2\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{a^{2}+2ab+64}{\left(x-2\right)^{2}} me \frac{\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}}{\left(x-2\right)^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{a^{2}+2ab+64+\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}}{\left(x-2\right)^{2}}$$

Mahia ngā whakarea i roto o a^{2}+2ab+64+\left(-x^{2}+4x-4\right)\left(x-2\right)^{2}.

$$\frac{a^{2}+2ab+64-x^{4}+4x^{3}-4x^{2}+4x^{3}-16x^{2}+16x-4x^{2}+16x-16}{\left(x-2\right)^{2}}$$

Whakakotahitia ngā kupu rite i a^{2}+2ab+64-x^{4}+4x^{3}-4x^{2}+4x^{3}-16x^{2}+16x-4x^{2}+16x-16.

$$\frac{a^{2}+2ab-24x^{2}+48-x^{4}+8x^{3}+32x}{\left(x-2\right)^{2}}$$

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

$$\frac{a^{2}+2ab-24x^{2}+48-x^{4}+8x^{3}+32x}{x^{2}-4x+4}$$