How do you multiply #-7(3x + 7) + 4#?

1 Answer
Alan P.
Jun 20, 2016

#-7(3x+7)+4=-color(green)(21x-45)#

Explanation:

Using the distributive property for multiplication over addition:
#color(red)(-7)(color(blue)(3x)+color(purple)(7))+color(cyan)(4)#
#color(white)("XXX")=((color(red)(-7)) * (color(blue)(3x))+(color(red)(-7)) *(color(purple)(7)))+color(cyan)(4)#

#color(white)("XXX")=(color(orange)(-21x)color(brown)(-49))+color(cyan)(4)#

#color(white)("XXX")=color(green)(-21x-45)#

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