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

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

Expand

$$2x^{4}+2x^{3}-11x^{2}+x-6$$

Solution Steps

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

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

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

$$2x^{4}-11x^{2}+2x^{3}+x-6$$

Evaluate

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

Solution Steps

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

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

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

$$2x^{4}-11x^{2}+2x^{3}+x-6$$