[tex] {(4x + 1)}^{2} - {(2x + 3)}^{2} [/tex]
[tex] = [4x + 1 - (2x +3)](4x + 1 + 2x + 3)[/tex]
[tex]=(4x+1-2x-3)(4x+1+2x+3)[/tex]
[tex] = (2x - 2)(6x + 4)[/tex]
[tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex]
[tex]a = 4x + 1[/tex]
[tex]b = 2x + 3[/tex]
