Question

$m ^{2} + 17mn - 84n ^{2}$
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Answer 1

The final answer is (m+21n)(m-4n).

Step-by-step explanation:

$\ Given \ value:\\\\m^2+17 mn -84n^2= 0\\\\\ Solution:\\\\m^2+17 mn -84n^2= 0\\\\\rightarrow m^2+(21-4)mn -84n^2= 0\\\\\rightarrow m^2+21mn-4mn -84n^2= 0\\\\\rightarrow m(m+21n)-4n(m +21n)= 0\\\\\rightarrow (m+21n)(m-4n)=0$

Learn more:

• Factors: https://brainly.in/question/13650274

Answer 2

Answer:

$= > {m}^{2} + 17mn - 84 {n}^{2} \\ \\ = > {m}^{2} + (21 - 4)mn - 84 {n}^{2} \\ \\ = > {m }^{2} + 21mn - 4mn - 84 {n}^{2} \\ \\ = > m(m + 21n) - 4n(m + 21n) \\ \\ = > (m + 21n)(m - 4n)$