simplify the rational expression completely:

Question

show step by step work:

x³+2x²-25x-50 ⁄ x²+7x+10

Answer 1

Factoring! It is an important skill

[x²(x + 2) - 25(x + 2)] / (x + 2)(x + 5)

(x² - 25)(x + 2) / (x + 2)(x + 5)

(x² - 25) / (x + 5)

(x + 5(x - 5) / (x + 5)

x - 5