Solve (x+1)(x^2+1)(4x^2-12x)

$$(x+1)( { x }^{ 2 } +1)(4 { x }^{ 2 } -12x)$$

Evaluate

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

Solution Steps

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

$$\left(x^{3}+x+x^{2}+1\right)\left(4x^{2}-12x\right)$$

Use the distributive property to multiply x^{3}+x+x^{2}+1 by 4x^{2}-12x and combine like terms.

$$4x^{5}-8x^{4}-8x^{3}-8x^{2}-12x$$

Expand

$$4x^{5}-8x^{4}-8x^{3}-8x^{2}-12x$$

Solution Steps

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

$$\left(x^{3}+x+x^{2}+1\right)\left(4x^{2}-12x\right)$$

Use the distributive property to multiply x^{3}+x+x^{2}+1 by 4x^{2}-12x and combine like terms.

$$4x^{5}-8x^{4}-8x^{3}-8x^{2}-12x$$