Solve b^2(b+1)(b+2)

$$b ^ { 2 } ( b + 1 ) ( b + 2 )$$

Evaluate

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

Solution Steps

Use the distributive property to multiply b^{2} by b+1.

$$\left(b^{3}+b^{2}\right)\left(b+2\right)$$

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

$$b^{4}+3b^{3}+2b^{2}$$

Expand

$$b^{4}+3b^{3}+2b^{2}$$

Solution Steps

Use the distributive property to multiply b^{2} by b+1.

$$\left(b^{3}+b^{2}\right)\left(b+2\right)$$

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

$$b^{4}+3b^{3}+2b^{2}$$