Solve a^2(a-1)(a+2)+6(a+1)

$$a ^ { 2 } ( a - 1 ) ( a + 2 ) + 6 ( a + 1 )$$

Evaluate

$$\left(a-1\right)\left(a+2\right)a^{2}+6a+6$$

Solution Steps

Use the distributive property to multiply a^{2} by a-1.

$$\left(a^{3}-a^{2}\right)\left(a+2\right)+6\left(a+1\right)$$

Use the distributive property to multiply a^{3}-a^{2} by a+2 and combine like terms.

$$a^{4}+a^{3}-2a^{2}+6\left(a+1\right)$$

Use the distributive property to multiply 6 by a+1.

$$a^{4}+a^{3}-2a^{2}+6a+6$$

Expand

$$a^{4}+a^{3}-2a^{2}+6a+6$$

Solution Steps

Use the distributive property to multiply a^{2} by a-1.

$$\left(a^{3}-a^{2}\right)\left(a+2\right)+6\left(a+1\right)$$

Use the distributive property to multiply a^{3}-a^{2} by a+2 and combine like terms.

$$a^{4}+a^{3}-2a^{2}+6\left(a+1\right)$$

Use the distributive property to multiply 6 by a+1.

$$a^{4}+a^{3}-2a^{2}+6a+6$$