Question

Factorise: 49 meter square +84 mn+ 36n square​

Answer 1

Answer:

$49 {m}^{2} + 84mn + 36 {n}^{2} \\ = {7}^{2} {m}^{2} + 84mn + {6}^{2} {n}^{2} \\ = {(7m)}^{2} + (2 \times 7m \times 6n) + {(6n)}^{2} \\ = {(7m + 6n)}^{2} \\ = (7m + 6n)(7m + 6n)$