Which of the following is equivalent to (2x+4) / (2x^2+8x+8) for all values of x for which both expressions are defined?

Question

Suraj Pandey · Accepted Answer

Factorize the denominator2x^2 + 8x + 8= 2(x^2 + 4x + 4)= 2(x + 2)^2
Simplify the fraction(2x + 4) / (2(x + 2)^2)= 2(x + 2) / 2(x + 2)(x + 2)= 1 / (x + 2)
ConclusionThe equivalent expression is 1 / (x + 2)