Solve (x^2+x-12)*(3x^2-5x+45)

$$( { x }^{ 2 } +x-12) \times (3 { x }^{ 2 } -5x+45)$$

Evaluate

$$\left(x-3\right)\left(x+4\right)\left(3x^{2}-5x+45\right)$$

Solution Steps

Use the distributive property to multiply x^{2}+x-12 by 3x^{2}-5x+45 and combine like terms.

$$3x^{4}-2x^{3}+4x^{2}+105x-540$$

Expand

$$3x^{4}-2x^{3}+4x^{2}+105x-540$$

Solution Steps

Use the distributive property to multiply x^{2}+x-12 by 3x^{2}-5x+45 and combine like terms.

$$3x^{4}-2x^{3}+4x^{2}+105x-540$$