Express the product x^2+4x/2x^2+13x+15 x x+5/x^2-16 in simplest form.
a)- 1/2x+3
b)x/(2x-16)(x+4)
c)(x^2+4x)(x+5)/(2x^2+13x+15)(x^2-16)
d)x/(2x-3)(x-4)
x^2+4x = x(x+4)
2x^2+13x+15 = (2x+3)(x+5)
x^2-16 = (x+4)(x-4)
So, you have
x(x+4) (x+5)
--------------------
(2x+3)(x+5)(x+4)(x-4)
Unless there's a typo, the answer is (e)