How do you factor #3x(1-2x) - 8(1-2x)#?

1 Answer
Alan P.
Sep 24, 2015

#(3x-8)(1-2x)#

Explanation:

Note the terms :
#color(white)("XXX")color(orange)(3x)color(red)((1-2x))#
and
#color(white)("XXX")color(green)(8)color(red)((1-2x))#
have a common factor of
#color(white)("XXX")color(red)((1-2x))#

Therefore
#color(orange)(3x)color(red)((1-2x)) - color(green)(8)color(red)((1-2x))#

#=(color(orange)(3x)-color(green)(8))(color(red)(1-2x))#

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