Question

factorise:
① (m + 3n)² -14(m+ 3n) +49​

Answer 1

Answer:

(m + 3n - 7)(m + 3n - 7)

Step-by-step explanation:

$\large{ \bold{ \mathfrak{ \color{lightgreen} {We \: know \: that,}}}}$

$\large \sf \color{violet}{a²- 2ab + b² = (a - b)(a - b)}$

${ \huge{ \red\star}} \: \: \: \: \: \: \: \: \large \sf{ \purple{(m + 3n)² -14(m+ 3n) +49} }\: \: \: \: \: \: \: \\ \\ \large \sf{ \mapsto (m + 3n)² -2 \times (m+ 3n) \times 7 + {7}^{2} } \\ \\ \large\mapsto \: \: \: \: \: \: \: \: \: \: \: \: \: \large \sf{ {\{(m + 3n) - 7 \}}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \: \\ \\ \large\mapsto \: \: \large \sf{ {\{(m + 3n) - 7 \}}}{ {\{(m + 3n) - 7 \}}} \: \: \: \: \: \: \: \\ \\ \large \sf{ \mapsto \: \: \: \: \: \: \: \pink{ {{ (m + 3n- 7 )}}{ {(m + 3n - 7) }}}} \: \: \: \: \: \: \: \: \: \: \:$