Question

Find the least common denominator for these two rational expressions. x/x^2-25, c/x^2-3x-10

Answer 1

Explanation:

Hello,

Let 's notice that

`x^2-25=x^2-5^2=(x-5)(x+5) \ \ and \\\\x^2-3x-10=(x-5)(x+2) \ \text{as sum of the zeroes is 3 and the product is -10}`

So the least common denominator is

`(x-5)(x+5)(x+2)`

hope this helps