Question

Which expression is equivalent to
x^2 − x − 6/x^2+2x-15

Answer 1

Answer:

$\frac{x+2}{x+5}$

Step-by-step explanation:

Factorise the numerator and denominator

x² - x - 6 = (x - 3)(x + 2)

x² + 2x - 15 = (x - 3)(x + 5)

Hence

= $\frac{(x-3)(x+2)}{(x-3)(x+5)}$

Cancel the factor (x - 3) on the numerator/ denominator leaving

$\frac{x+2}{x+5}$ ← equivalent expression