Factor by grouping problem

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\(\displaystyle \text{Factor by grouping: }\:2n - 6m + 5n^2 - 15mn\)

Factor "by pairs".

The first two terms have \(\displaystyle 2\) in common; factor it out.
The last two terms have \(\displaystyle 5n\) in common; factor it out.

. . . . \(\displaystyle 2(n-3m) + 5n(n - 3m)\)


We have: .\(\displaystyle 2\underbrace{(n-3m)} + 5n\underbrace{(n - 3m)}\)

The two groups have \(\displaystyle (n-3m)\) in common; factor it out.

And we have: .\(\displaystyle (n-3m)(2 + 5n)\)
 
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