How do you find the product #-4d(5d^2-12)+7(d+5)#?

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Answer 1 · 2017-05-08T13:20:16

See a solution process below:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

#color(red)(-4d)(5d^2 - 12) + color(blue)(7)(d + 5)#

#(color(red)(-4d) * 5d^2) + (color(red)(-4d) * -12) + (color(blue)(7) * d) + (color(blue)(7) * 5)#

#-20d^3 + 48d + 7d + 35#

Now, combine like terms:

#-20d^3 + (48 + 7)d + 35#

#-20d^3 + 55d + 35#