How do you factor #dc+cx-dy-xy#?

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Answer 1 · 2016-06-12T19:01:24

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

#dc + cx - dy - xy#

#color(blue)(dc + cx)color(green)( - dy - xy#

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

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

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

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

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