Question

Can I get some help on how to solve this?

Answer 1

see explanation

Explanation:

Factorise both denominators

x² + 2x = x(x + 2) ← common factor of x

x² - 4 = (x - 2)(x + 2) ← difference of squares

Before subtracting we require common denominators

Multiply the numerator/denominator of the first fraction by (x - 2)

Multiply the numerator of the second fraction by x

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

Distribute and simplify the numerator leaving the denominator

=
`(5x-10-2x)/(x(x-2)(x+2))`

=
`(3x-10)/(x(x-2)(x+2))`