Problem

Factor by grouping. \[ 7 m+m n+14+2 n \] \[ 7 m+m n+14+2 n=\square \]

Solution

Step 1 :Given the expression \(7m + mn + 14 + 2n\).

Step 2 :Rearrange the terms to get \(7m + 14 + mn + 2n\).

Step 3 :Group the terms to get \((7m + 14) + (mn + 2n)\).

Step 4 :Factor out a 7 from the first group and an n from the second group.

Step 5 :Final Answer: The factored form of the given expression is \(\boxed{(m + 2)(n + 7)}\).

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Source: https://solvelyapp.com/problems/8x6TICkpH6/

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