How do you factor #kx + px - ky - py#?

1 Answer
Nov 14, 2015

Answer:

#(k+p)(x-y)#

Explanation:

Group #kx+px-ky-py#
as
#color(white)("XXX")(kx+px) - (ky+py)#

Extract the common factor #x# from the first term
and the common factor #y# from the second term
#color(white)("XXX")(k+p)x - (k+p)y#

Extract #(k+p)# as a common factor of both of these terms
#color(white)("XXX")(k+p)(x-y)#