Solve (x^2+3)(x^2-5)(x+1)

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

Evaluate

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

Solution Steps

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

$$\left(x^{4}-2x^{2}-15\right)\left(x+1\right)$$

Use the distributive property to multiply x^{4}-2x^{2}-15 by x+1.

$$x^{5}+x^{4}-2x^{3}-2x^{2}-15x-15$$

Expand

$$x^{5}+x^{4}-2x^{3}-2x^{2}-15x-15$$

Solution Steps

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

$$\left(x^{4}-2x^{2}-15\right)\left(x+1\right)$$

Use the distributive property to multiply x^{4}-2x^{2}-15 by x+1.

$$x^{5}+x^{4}-2x^{3}-2x^{2}-15x-15$$