Solve (x+2)(2x-3)(2x^2+1)

$$(x+2)(2x-3)(2 { x }^{ 2 } +1)$$

Evaluate

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

Solution Steps

Use the distributive property to multiply x+2 by 2x-3 and combine like terms.

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

Use the distributive property to multiply 2x^{2}+x-6 by 2x^{2}+1 and combine like terms.

$$4x^{4}-10x^{2}+2x^{3}+x-6$$

Expand

$$4x^{4}+2x^{3}-10x^{2}+x-6$$

Solution Steps

Use the distributive property to multiply x+2 by 2x-3 and combine like terms.

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

Use the distributive property to multiply 2x^{2}+x-6 by 2x^{2}+1 and combine like terms.

$$4x^{4}-10x^{2}+2x^{3}+x-6$$