Solve 1/x-2^4x^2-3/x-9=

$$\frac { 1 } { x - 2 ^ { 4 } } \frac { x ^ { 2 } - 3 } { x - 9 } =$$

Evaluate

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

Short Solution Steps

Calculate 2 to the power of 4 and get 16.

$$\frac{1}{x-16}\times \frac{x^{2}-3}{x-9}$$

Multiply \frac{1}{x-16} times \frac{x^{2}-3}{x-9} by multiplying numerator times numerator and denominator times denominator.

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

Use the distributive property to multiply x-16 by x-9 and combine like terms.

$$\frac{x^{2}-3}{x^{2}-25x+144}$$

Expand

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

Short Solution Steps

Calculate 2 to the power of 4 and get 16.

$$\frac{1}{x-16}\times \frac{x^{2}-3}{x-9}$$

Multiply \frac{1}{x-16} times \frac{x^{2}-3}{x-9} by multiplying numerator times numerator and denominator times denominator.

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

Use the distributive property to multiply x-16 by x-9 and combine like terms.

$$\frac{x^{2}-3}{x^{2}-25x+144}$$