Question

Descompus in produs de factori (4x+1) ^{2} -(2x+3) ^{2} este....

Answer 1

$\displaystyle Utilizam~identitatea~A^2-B^2=(A+B)(A-B)~pentru~ \\ \\ A=4x+1~si~B=2x+3. \\ \\ (4x+1)^2-(2x+3)^2= \\ \\ =A^2-B^2= \\ \\ =(A+B)(A-B)= \\ \\ = \Big((4x+1)+(2x+3) \Big) \Big((4x+1)-(2x+3) \Big)= \\ \\ =(6x+4)(2x-2)= \\ \\ =4(3x+2)(x-1)$