How do you factor completely 5ab + 3ay + 5b + 3y?

Nov 8, 2016

$5 a b + 3 a y + 5 b + 3 y = \left(a + 1\right) \left(5 b + 3 y\right)$

Explanation:

Factor by grouping:

$5 a b + 3 a y + 5 b + 3 y = \left(5 a b + 3 a y\right) + \left(5 b + 3 y\right)$

$\textcolor{w h i t e}{5 a b + 3 a y + 5 b + 3 y} = a \left(5 b + 3 y\right) + 1 \left(5 b + 3 y\right)$

$\textcolor{w h i t e}{5 a b + 3 a y + 5 b + 3 y} = \left(a + 1\right) \left(5 b + 3 y\right)$
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