How do you combine #3( x + 7) ^ { 2} - 5( x + 7) - 8#?

1 Answer
Jul 22, 2017

#3x^2+37x+104#

Explanation:

#3(x+7)^2-5(x+7)-8#

We first simplify each section separately.

A] #3(x+7)^2=3xx[(x+7)(x+7)]=3(x^2+14x+49)=#
#3x^2+42x+147#

B] #-5(x+7)=-5x-35#

Now collate all the expanded terms.

#3x^2+42x+147-5x-35-8#

Group all like terms and simplify.

#3x^2+42x-5x+147-35-8#

#3x^2+37x+104#