Solve -5/(x-1)(x+1)(x+2)

$$\frac{ -5 }{ (x-1)(x+1)(x+2) }$$

Evaluate

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

Solution Steps

Apply the distributive property by multiplying each term of x-1 by each term of x+1.

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

Combine x and -x to get 0.

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

Apply the distributive property by multiplying each term of x^{2}-1 by each term of x+2.

$$\frac{-5}{x^{3}+2x^{2}-x-2}$$

Expand

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

Solution Steps

Apply the distributive property by multiplying each term of x-1 by each term of x+1.

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

Combine x and -x to get 0.

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

Apply the distributive property by multiplying each term of x^{2}-1 by each term of x+2.

$$\frac{-5}{x^{3}+2x^{2}-x-2}$$