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

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

Expand

$$x^{4}-3x^{3}+5x^{2}-9x+6$$

Solution Steps

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

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

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

$$x^{4}+5x^{2}-3x^{3}-9x+6$$

Evaluate

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

Solution Steps

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

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

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

$$x^{4}+5x^{2}-3x^{3}-9x+6$$