How do you factor by grouping $xy + x - y - 1$ ?

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Answer 1 · 2015-05-17T08:05:10

$xy + x - y -1$

We factor this expression by making groups of 2 terms
$= (xy + x) + (-y -1)$

Now we take the common factors out from each group
$= x( y+ 1) - 1(y+1)$

$( y+1)$ is a common factor to each of the terms now:
$= (y+1)(x-1)$

$color(green)((y+1)(x-1))$ is the Factorised form of $xy + x - y -1$

How do you factor by grouping xy + x - y - 1xy + x - y - 1?