Adding and subtracting rational expressions

Question

asked May 5, 2020 151k views

1 Answer

Sook · Answer 1 · 2020-05-10T16:59:03+0000

Answer:

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

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