Explicación paso a paso:
[tex]ab {x}^{2} + ( {a}^{2} + b {}^{2}) x+ ab \\ ab {x}^{2} + a {}^{2} x + b {}^{2} x + ab \\ (abx {}^{2} + b {}^{2}x) + ( {a}^{2}x + ab) \\ (bx)(ax + b) + (a)(ax + b) \\ (ax + b)(bx + a)[/tex]
espero que sea de tu ayuda
Saludos :)