Solve (x-7)(x+3)(x^2-4)

$$( x - 7 ) ( x + 3 ) ( x ^ { 2 } - 4 )$$

Expand

$$x^{4}-4x^{3}-25x^{2}+16x+84$$

Solution Steps

Use the distributive property to multiply x-7 by x+3 and combine like terms.

$$\left(x^{2}-4x-21\right)\left(x^{2}-4\right)$$

Use the distributive property to multiply x^{2}-4x-21 by x^{2}-4 and combine like terms.

$$x^{4}-25x^{2}-4x^{3}+16x+84$$

Evaluate

$$\left(x-7\right)\left(x+3\right)\left(x^{2}-4\right)$$

Solution Steps

Use the distributive property to multiply x-7 by x+3 and combine like terms.

$$\left(x^{2}-4x-21\right)\left(x^{2}-4\right)$$

Use the distributive property to multiply x^{2}-4x-21 by x^{2}-4 and combine like terms.

$$x^{4}-25x^{2}-4x^{3}+16x+84$$