Solve 4x^2-16/4divx^2-4/2

$$\frac { 4 x ^ { 2 } - 16 } { 4 } \div \frac { x ^ { 2 } - 4 } { 2 }$$

Evaluate

$$2$$

Short Solution Steps

Divide \frac{4x^{2}-16}{4} by \frac{x^{2}-4}{2} by multiplying \frac{4x^{2}-16}{4} by the reciprocal of \frac{x^{2}-4}{2}.

$$\frac{\left(4x^{2}-16\right)\times 2}{4\left(x^{2}-4\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{4x^{2}-16}{2\left(x^{2}-4\right)}$$

Factor the expressions that are not already factored.

$$\frac{4\left(x-2\right)\left(x+2\right)}{2\left(x-2\right)\left(x+2\right)}$$

Cancel out 2\left(x-2\right)\left(x+2\right) in both numerator and denominator.

$$2$$

Factor

$$2$$