How do you group and factor $4 j k - 8 j^{2} + 5 k - 10 j$ $4jk-8j^2+5k-10j$ ?

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Answer 1 · 2014-10-30T01:37:24

In order to factor by grouping it is important to group the pairs in a way that when factored the variables will match.

$4 j k - 8 j^{2} + 5 k - 10 j$ $4jk - 8j^2 + 5k - 10j$

$(4 j k - 8 j^{2}) + (5 k - 10 j)$ $(4jk - 8j^2) + (5k - 10j)$ Factor out a common factor from each group.

$4 j (k - 2 j) + 5 (k - 2 j)$ $4j(k - 2j) + 5(k - 2j)$

Now that you have a common factor you can pair the factors outside of the parenthesis.

$(4 j + 5) (k - 2 j)$ $(4j + 5)(k - 2j)$

How do you group and factor 4jk−8j2+5k−10j4jk-8j^2+5k-10j?