How do you factor by grouping $5x + 2y + xy + 10$ ?

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Answer 1 · 2015-05-17T07:48:45

$5x + 2y + xy + 10$

We factor this expression by making groups of 2 terms
$= (5x + xy) + (2y +10)$

Now we take the common factors out from each group
$= x( 5 + y) + 2( y+5)$

$( 5 +y)$ is a common factor to each of the terms now:

$= (5+y)(x+2)$

$color(green)( (5+y)(x+2)}$ is the Factorised form of $5x + 2y + xy + 10$

How do you factor by grouping 5x + 2y + xy + 105x + 2y + xy + 10?