SpecialProductsExample 124

Question

Factor $4a^{2} - b^{2} $

Answer

$\;\;\;4a^{2} - b^{2} $

$=(2a)^2 - (b)^2 $

$=A^2-B^2 \text{ , where } A = 2a \text{ and } B = b$

$=(A + B)( A - B) $

$=(2a + b)(2a - b)$