Question

Descompuneti în factori
$(4x + 1)^{2} - (2x + 3)^{2}$

Answer 1

${(4x + 1)}^{2} - {(2x + 3)}^{2}$

$= [4x + 1 - (2x +3)](4x + 1 + 2x + 3)$

$=(4x+1-2x-3)(4x+1+2x+3)$

$= (2x - 2)(6x + 4)$

${a}^{2} - {b}^{2} = (a - b)(a + b)$

$a = 4x + 1$

$b = 2x + 3$