Solve (x/x^2-16)(1/x-9)

$$( \frac { x } { x ^ { 2 } - 16 } ) ( \frac { 1 } { x - 9 } )$$

Evaluate

$$\frac{x}{\left(x-9\right)\left(x^{2}-16\right)}$$

Short Solution Steps

Multiply \frac{x}{x^{2}-16} times \frac{1}{x-9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{\left(x^{2}-16\right)\left(x-9\right)}$$

Use the distributive property to multiply x^{2}-16 by x-9.

$$\frac{x}{x^{3}-9x^{2}-16x+144}$$

Differentiate w.r.t. x

$$\frac{144+9x^{2}-2x^{3}}{\left(\left(x-9\right)\left(x^{2}-16\right)\right)^{2}}$$