Question

сократите дробь 4x^2-(2x-1)^2/(x-1/4)^2​

Answer 1

$\displaystyle \tt  \frac{4x^{2}-(2x-1)^{2}}{\bigg(x-\dfrac{1}{4}\bigg)^{2}}=\frac{4x^{2}-(4x^{2}-4x+1)}{\bigg(x-\dfrac{1}{4}\bigg)^{2}}=\frac{4\cdot\bigg(x-\dfrac{1}{4}\bigg)}{\bigg(x-\dfrac{1}{4}\bigg)^{2}}=\frac{4}{x-\dfrac{1}{4}}=\frac{16}{4x-1};$