Question

Adding and subtracting rational expressions

Answer 1

Answer:

Step-by-step explanation:

When adding or subtracting rational expressions, it is easiest to find a common denominator.

Ex.

$\frac{x+2}{x-5} + \frac{x-7}{x}$

The common denominator would be $x(x-5)$

We need to make both fractions have that denominator

$\frac{(x+2)(x)}{(x-5)x} + \frac{(x-7)(x-5)}{x(x-5)} \\\frac{(x^2+2x)+(x^2-12x+35)}{(x^2-5x)}\\\frac{2x^2-10x+35}{(x^2-5x)}$