How do you combine 3( x + 7) ^ { 2} - 5( x + 7) - 83(x+7)2−5(x+7)−8?

1 Answer
Suren Abreu
Jul 22, 2017

3x^2+37x+1043x2+37x+104

Explanation:

3(x+7)^2-5(x+7)-83(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)=3(x+7)2=3×[(x+7)(x+7)]=3(x2+14x+49)=
3x^2+42x+1473x2+42x+147

B] -5(x+7)=-5x-35−5(x+7)=−5x−35

Now collate all the expanded terms.

3x^2+42x+147-5x-35-83x2+42x+147−5x−35−8

Group all like terms and simplify.

3x^2+42x-5x+147-35-83x2+42x−5x+147−35−8

3x^2+37x+1043x2+37x+104

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