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(2a+4)^3=?

What's the product?

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2 Answers

(2a + 4)^3 means (2a + 4)(2a + 4)(2a + 4)

Multiply the first two groupings together using FOIL:
(2a + 4)(2a + 4) =  4a^2 + 8a + 8a + 16
Combine like terms:  4a^2 + 16a + 16

Now take that answer and multiply by the third grouping using distributive property:

(4a^2 + 16a + 16)(2a + 4) =  8a^3 + 16a^2 + 32a^2 + 64a + 32a + 64

Combine like terms to get: 8a^3 + 48a^2 + 96a + 64

If you look closely at Nataliya D's answer, you'll see that multiplying each term in her grouping by the 8 out in front gives you the same answer.

 

Comments

Hi Sheila. As I understood, Jamal is taking on-line quizzes and interesting only in answers. Unfortunately, all our work we did for him is wasting time......

I was not aware of him seeking answers for quizzes.  I thought the answers he was providing were in the back of the book or something.  I think that's some form of abuse of the tutoring here... is there a way to report that?

(a ± b)3 = a3 ± 3a2b + 3ab2 ± b3

(2a + 4)3 = (2a)3 + 3(2a)2 · 4 + 3 · 2a · 42 + 43 = 8a3 + 48a2 + 96a + 64 = 8(a3 + 6a2 + 12a + 8)

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