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The factors of $m 2 + 17 m n − 84$ are and .

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Detailed Solution

The factors of

m 2 + 17 m n − 84

are

m + 21 n and m − 4 n

.
The given expression is

m 2 + 17 m n − 84 n 2

.
Use the concept of the middle term.

⇒ m 2 + 21 m n − 4 m n − 84 n 2 ⇒ m m + 21 n − 4 n m + 21 n

Consider the above-given equation.

⇒ m + 21 n m − 4 n

Hence, the factors of

m 2 + 17 m n − 84 n 2

are

m + 21 n m − 4 n

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