Whakaoti i te (a-1)^2(a+2)+(1-a)(a+1)(a-2)=

$$( a - 1 ) ^ { 2 } ( a + 2 ) + ( 1 - a ) ( a + 1 ) ( a - 2 ) =$$

Aromātai

$$2a\left(a-1\right)$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-1\right)^{2}.

$$\left(a^{2}-2a+1\right)\left(a+2\right)+\left(1-a\right)\left(a+1\right)\left(a-2\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te a^{2}-2a+1 ki te a+2 ka whakakotahi i ngā kupu rite.

$$a^{3}-3a+2+\left(1-a\right)\left(a+1\right)\left(a-2\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 1-a ki te a+1 ka whakakotahi i ngā kupu rite.

$$a^{3}-3a+2+\left(1-a^{2}\right)\left(a-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 1-a^{2} ki te a-2.

$$a^{3}-3a+2+a-2-a^{3}+2a^{2}$$

Pahekotia te -3a me a, ka -2a.

$$a^{3}-2a+2-2-a^{3}+2a^{2}$$

Tangohia te 2 i te 2, ka 0.

$$a^{3}-2a-a^{3}+2a^{2}$$

Pahekotia te a^{3} me -a^{3}, ka 0.

$$-2a+2a^{2}$$

Whakaroha

$$2a^{2}-2a$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-1\right)^{2}.

$$\left(a^{2}-2a+1\right)\left(a+2\right)+\left(1-a\right)\left(a+1\right)\left(a-2\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te a^{2}-2a+1 ki te a+2 ka whakakotahi i ngā kupu rite.

$$a^{3}-3a+2+\left(1-a\right)\left(a+1\right)\left(a-2\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 1-a ki te a+1 ka whakakotahi i ngā kupu rite.

$$a^{3}-3a+2+\left(1-a^{2}\right)\left(a-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 1-a^{2} ki te a-2.

$$a^{3}-3a+2+a-2-a^{3}+2a^{2}$$

Pahekotia te -3a me a, ka -2a.

$$a^{3}-2a+2-2-a^{3}+2a^{2}$$

Tangohia te 2 i te 2, ka 0.

$$a^{3}-2a-a^{3}+2a^{2}$$

Pahekotia te a^{3} me -a^{3}, ka 0.

$$-2a+2a^{2}$$