Question

Adding and subtracting rational expressions

Answer 1

Explanation:

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

Ex.

`(x+2)/(x-5) + (x-7)/(x)  \\`

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

We need to make both fractions have that denominator

`((x+2)(x))/((x-5)x) + ((x-7)(x-5))/(x(x-5))  \\((x^2+2x)+(x^2-12x+35))/((x^2-5x))\\(2x^2-10x+35)/((x^2-5x))`