Question

Срочно!!! Спростіть вираз

Answer 1

$\Big(\dfrac{2a+1}{2a-1}-\dfrac{2a-1}{2a+1}\Big):\dfrac{2a}{6a+3}=\\\\\\=\dfrac{(2a+1)^2-(2a-1)^2}{(2a-1)(2a+1)}:\dfrac{2a}{3(2a+1)}=\\\\\\=\dfrac{4a^2+4a+1-(4a^2-4a+1)}{(2a-1)(2a+1)}\cdot \dfrac{3(2a+1)}{2a}=\\\\\\=\dfrac{8a}{2a-1}\cdot \dfrac{3}{2a}=\dfrac{4\cdot 3}{2a-1}=\dfrac{12}{2a-1}$

Answer 2

1)((2а+1)²-(2а-1)²)/((2а-1)*(2а+1))*(3*(2а+1)/2а)=

((2а+1)²-(2а-1)²)/((2а-1))*(3*/2а)=

(2а+1-2а+1)*(2а+1+2а-1)/((2а-1))*(3*/2а)=

(2)*(4а)/((2а-1))*(3*/2а)=8а*3/((2а-1)*2а)=12/(2а-1)