Question Number 74163 by MASANJAJ last updated on 19/Nov/19
$${factorize} \\ $$$$\left({x}−\mathrm{1}\right)^{\mathrm{2}} \:−\mathrm{4}{y}^{\mathrm{2}} \\ $$
Answered by MJS last updated on 19/Nov/19
$${a}^{\mathrm{2}} −{b}^{\mathrm{2}} =\left({a}−{b}\right)\left({a}+{b}\right) \\ $$$$\left({x}−\mathrm{1}\right)^{\mathrm{2}} −\mathrm{4}{y}^{\mathrm{2}} = \\ $$$$=\left({x}−\mathrm{1}−\mathrm{2}{y}\right)\left({x}−\mathrm{1}+\mathrm{2}{y}\right)= \\ $$$$=\left({x}−\mathrm{2}{y}−\mathrm{1}\right)\left({x}+\mathrm{2}{y}−\mathrm{1}\right) \\ $$