How do you multiply \frac{5x^2+16x+3}{36x^2-25} \cdot (6x^2+5x)5x2+16x+336x225(6x2+5x)?

1 Answer
May 26, 2018

(x*(5*x^2+16x+3))/(6x-5)x(5x2+16x+3)6x5

Explanation:

The numerator is given by
36x^2-25=(6x-5)(6x+5)36x225=(6x5)(6x+5)
and the factor
6x^2+5x=x(6x+5)6x2+5x=x(6x+5)
So we get by cancelling
6x+56x+5
the result
(x(5x^2+16x+3))/(6x-5)x(5x2+16x+3)6x5