Question

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)

Answer 1

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)