Solve (1-x^2)(x^2+8x+15)

$$( 1 - x ^ { 2 } ) ( x ^ { 2 } + 8 x + 15 )$$

Evaluate

$$-\left(x+3\right)\left(x+5\right)\left(x^{2}-1\right)$$

Solution Steps

Use the distributive property to multiply 1-x^{2} by x^{2}+8x+15 and combine like terms.

$$-14x^{2}+8x+15-x^{4}-8x^{3}$$

Expand

$$15+8x-14x^{2}-8x^{3}-x^{4}$$

Solution Steps

Use the distributive property to multiply 1-x^{2} by x^{2}+8x+15 and combine like terms.

$$-14x^{2}+8x+15-x^{4}-8x^{3}$$