SOLUTION: Use the Binomial Theorem to expand the binomial and express the result in simplified form. (x + 4)3

Question 1172645: Use the Binomial Theorem to expand the binomial and express the result in simplified form. (x + 4)3
Found 3 solutions by ewatrrr, MathTherapy, ikleyn:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi

a = x and b = 4
Might be best to start as below.. to eliminate any sloppiness
(x + 4)^3 = x^3 + (3)(b)x^2 + 3(b^2)x + 64
(x + 4)^3 = x^3 + (3)(4)x^2 + 3(16)x + 64
(x + 4)^3 = x^3 + 12x^2 + 48x + 64
We all most heartedly agree that is the correct response.
Wish You the Best in your Studies.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Use the Binomial Theorem to expand the binomial and express the result in simplified form. (x + 4)3

(x + 4)3 should be (x + 4)³
<====== Binomial Expansion Formula
In this case, there are 4 terms, so we get:

There're only 4 terms so it's quite easy to EXPAND the binomial, in order to check this answer!
Answer by ikleyn(52793)   (Show Source): You can put this solution on YOUR website!
.

            The post by @ewatrrr contains FATAL ERRORS.

            I came to bring you the CORRECT SOLUTION.

= + + + (x + 4)^3 = x^3 + (3)(4)x^2 + 3(16)x + 64 (x + 4)^3 = x^3 + 12x^2 + 48x + 64.

Solved.

-----------------

In my young years, when I studied at the middle school, one of many requirements
of our educational program in Math was to know such identities as the multiplication table.

                    As   2 x 2 = 4.

/\/\/\/\/\/\/\/\/

Since you do not know these basic issues, look into the lessons

1. The cube of the sum formula is                 .
      For details and examples of applications of this formula see the lesson The cube of the sum formula.

2. The cube of the difference formula is     .
      For details and examples of applications of this formula see the lesson The cube of the difference formula.

3. The sum of cubes formula is                       .
      For details and examples of applications of this formula see the lesson The sum of cubes formula.

4. The difference of cubes formula is           .
      For details and examples of applications of this formula see the lesson The difference of cubes formula.

Learn the subject from there   (as the multiplication table).

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