Question

Упростите выражение: ((2a+1)/(2a-1)-(2a-1)/(2a+1)):2a/(6a+3)

Answer 1

$( frac{2a+1}{2a-1} - frac{2a-1}{2a+1} ): frac{2a}{3(2a+1)} = frac{3(2a+1)((2a+1)^2-(2a-1)^2)}{2a(2a-1)(2a+1)} =\= frac{24a}{2a(2a-1)} = frac{12}{2a-1}$