Solve [(x+1)(x^2-x+1)]*3x^2

$$[ ( x + 1 ) ( x ^ { 2 } - x + 1 ) ] \times 3 x ^ { 2 }$$

Evaluate

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

Solution Steps

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

$$\left(x^{3}+1\right)\times 3x^{2}$$

Use the distributive property to multiply x^{3}+1 by 3.

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

Use the distributive property to multiply 3x^{3}+3 by x^{2}.

$$3x^{5}+3x^{2}$$

Expand

$$3x^{5}+3x^{2}$$

Solution Steps

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

$$\left(x^{3}+1\right)\times 3x^{2}$$

Use the distributive property to multiply x^{3}+1 by 3.

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

Use the distributive property to multiply 3x^{3}+3 by x^{2}.

$$3x^{5}+3x^{2}$$