Question

Can I get some help on how to solve this?

Answer 1

Answer:

see explanation

Step-by-step 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

= $\frac{5}{x(x-2)(x+2)}$ - $\frac{2x}{x(x-2)(x+2)}$

Distribute and simplify the numerator leaving the denominator

= $\frac{5x-10-2x}{x(x-2)(x+2)}$

= $\frac{3x-10}{x(x-2)(x+2)}$