Question

perform the indicated operation of multiplication or division on the rational expressions and simplify:
xy x
________ / _____________
x^2+11x+18 6x^2+7x-10

Answer 1

invert the second bracket and multiply

xy * 6x^2 + 7x + 10
---------- --------------
x^2 + 11x + 18 x

now check to see if the two quadratics can be factored

Answer 2

6x^2 + 7x - 10 = (6x - 5)(x + 2)
x^2 + 11x + 18 = (x + 9)(x + 2)
sub these two factors in and cancel and your home

(sorry i typed the top quadratic incorrectly in my last post i put + 10 instead of -10))