Divide:???

Question

x2 – 9x + 20 ÷ x2 – 25
__________ _________
6x – 4 2x + 10

Answer 1

Rewriting:

(x^2 - 9x + 20)/(6x - 4) / (x^2 - 25)/(2x + 10)

When you divide, you multiply by the reciprocal, so this becomes:

=(x^2 - 9x + 20)/(6x - 4) * (2x + 10)/(x^2 - 25)
=(x^2 - 9x + 20)(2x + 10)/(6x - 4)(x^2 - 25)

You can factor everything to see if anything cancels out:
=2(x - 4)(x - 5)(x + 5) / 2(3x - 2)(x - 5)(x + 5)
=(x - 4) / (3x - 2)