Question

Find the least common denominator for these two rational expressions Please!!!!

Answer 1

(x + 2)²(x - 1)

Explanation:

Factorise the denominators of both fractions

x² + 4x + 4 ← is a perfect square = (x + 2)²

x² + x - 2 = (x + 2)(x - 1)

The fractions can be expressed as

`(x(x-1))/((x+2)^2(x-1))` and
`(2(x+2))/((x+2)^2(x-1))`

least common multiple is (x + 2)²(x - 1)