Question

factor this expression 9r(squared) -4s(squared) divided by 9r+6s

Answer 1

factor top and bottom independently
top is of the form (a^2-b^2) = (a-b)(a+b)
a^2 = 9r^2 --> a = 3r
b^2 = 4s^2 --> b = 2s
= (3r-2s)(3r+2s)
bottom has common factor of 3
=3(3r+2s)
cancel (3r+2s) on top and bottom leaving
(3r-2s)/3