Question

Factorize m2 +17mn -84n2

Score: 4

(m+4n)(m-21n)

(m-4n)(m+21n)

(m+4n)(m+21n)

(m+4n)(m-21n)

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Answer 1

$\large{ \bold{ \green{ \underline{ \underline{Question...}}}}}$

$\large{ \sf{factorise \: \: {m}^{2} + 17mn - 84 {n}^{2} }}$

$\large{ \red{ \bold{ \underline{ \underline{Answer...}}}}}$

$\large{ \sf{option \: c}}$

$\large{ \bold{ \green{ \underline{ \underline{Solution...}}}}}$

$\large{ \sf{ \to \: {m}^{2} + 17mn - 84 {n}^{2} }} \\ \\ \large{ \sf{ \to \: {m}^{2} + 21mn - 4mn - 84 {n}^{2} }} \\ \\ \large{ \sf{ \to \: m(m + 21n) - 4n(m + 21n)}} \\ \\ \large{ \sf{ \boxed{ \blue{ \to \: (m - 4n)(m + 21n)}}}}$

$\large{ \bold{ \orange{ required \: answer \: is \: (m - 4n)(m + 21n)}}}$