Express the product, x^2 + 4x divided by
2x^2+13x+15 multiplied by x+5 divided by x^2 - 16 ?
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+3)
2x^2+13x+15 = (2x+3)(x+5)
x^2-16 = (x-4)(x+4)
So, what you have is
x(x+4)(x+5)
------------------
(2x+3)(x+5)(x+4)(x-4)
That leaves you with
x / (2x+3)(x-4)