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

1 Answer
Jun 12, 2016

Answer:

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

Explanation:

#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)#