Question

упростить выражение ​

Answer 1

$-\frac{4x^2-1}{2x+1}\cdot \sqrt{\frac{4x^2+4x+1}{4x^2-4x+1}}=-\frac{\left ( 2x+1 \right )\left ( 2x-1 \right )}{2x+1}\cdot \sqrt{\frac{\left ( 2x+1 \right )^2}{\left ( 2x-1 \right )^2}}=-\left ( 2x-1 \right )\cdot \left | \frac{2x+1}{2x-1} \right |\\x\in \left ( -\frac{1}{2};\frac{1}{2} \right )\Rightarrow \left ( 2x-1 \right )^2\left ( 2x+1 \right )$