Question

Al factorizar m2 + 12m + 36, se obtiene

Answer 1

suma-producto

$\boxed{m {}^{2} + 12 + 36}$

$\boxed{ \pink{m {}^{2} + 12m36 }} \\ \boxed{ \red{m {}^{2} + 6m + 6m + 36}}$

Factor común

$\boxed{ \large{ \blue{m {}^{2} + 6m + 6m + 36}}} \\ \bf{ \red{ m(m + 6) + 6(m + 6)}}$

Factorizar

$m(m + 6) + 6(m + 6) \\ (m + 6)(m + 6)$

combinar

$\orange{(m + 6)(m + 6)} \\ (m + 6) {}^{2}$

resultado

$\boxed{ \large{ \purple { \boxed{ \large{(m + 6) {}^{2} }}}}}$