Question

Subtract$\frac{4x^2}{2x-5}-\frac{25}{2x-5}$

Short answer

The given expression is equivalent to$2x+5.$

Step-by-step solution

Given information

The given expression is$\frac{4x^2}{2x-5}-\frac{25}{2x-5}$

Simplifying the expression,

Making the denominator common:

$\frac{4x^2-25}{2x-5}$

Factorizing the numerator:

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

Cancelling the like factor from the numerator and denominator:

$2x+5.$