Solve (a+2)(a-1)^2

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

Expand

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

Solution Steps

Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-1\right)^{2}.

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

Use the distributive property to multiply a+2 by a^{2}-2a+1 and combine like terms.

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

Evaluate

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

Solution Steps

Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-1\right)^{2}.

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

Use the distributive property to multiply a+2 by a^{2}-2a+1 and combine like terms.

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