How do you factor $d c + c x - d y - x y$ $dc+cx-dy-xy$ ?

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Answer 1 · 2016-06-12T19:01:24

$= (c - y) (d + x)$ $=color(blue)((c - y ) ( d + x)$

$d c + c x - d y - x y$ $dc + cx - dy - xy$

$d c + c x - d y - x y$ $color(blue)(dc + cx)color(green)( - dy - xy$

We can factor this expression by making groups of two terms:

$(c)$ $color(blue)((c))$ is common to both the terms in the first group, and $(y)$ $color(green)((y)$ is common to both the terms in the second group

$= c (d + x) - y (d + x)$ $=color(blue)(c)(d+x) color(green)(-y)( d + x)$

$(d + x)$ $(d + x)$ is common to both the terms now:

$= (c - y) (d + x)$ $=color(blue)((c - y ) ( d + x)$

How do you factor dc+cx−dy−xydc+cx-dy-xy?