MATH SOLVE

3 months ago

Q:
# Simplify the expression given below.x+2/4x²+5x+1*4x+1/x²-4

Accepted Solution

A:

Answer: [tex]\bold{\dfrac{1}{(x+1)(x-2)}}[/tex]Step-by-step explanation:[tex]\dfrac{x+2}{4x^2+5x+1}\times \dfrac{4x+1}{x^2-4}\\\\\\\text{Factor the quadratics:}\\\dfrac{x+2}{(4x+1)(x+1)}\times \dfrac{4x+1}{(x-2)(x+2)}\\\\\\\text{Simplify - cross out (4x+1) and (x+2):}\\\dfrac{1}{(x+1)(x-2)}[/tex]