Answer
$\frac{2}{x^2(x-2)}$
Work Step by Step
$\frac{10x+4}{x^2-4}\div\frac{5x^3+2x^2}{x+2}$
Step 1: Multiply by the reciprocal
$\frac{10x+4}{x^2-4}\times\frac{x+2}{5x^3+2x^2}$
Step 2: Factor the common terms and multiply
$\frac{(10x+4).(x+2)}{(x+2)(x-2).(5x^3+2x^2)}$ (Cancelling (x+2) from numerator and denominator)
$\frac{2(5x+2)}{(x-2).x^2(5x+2)}$ (Cancelling (5x+2) from numerator and denominator)
$\frac{2}{x^2(x-2)}$