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(Picture) MULTIPLYING POLYNOMIALS AND SIMPLIFYING EXPRESSIONS PLEASE HELP!!!!

(Picture) MULTIPLYING POLYNOMIALS AND SIMPLIFYING EXPRESSIONS PLEASE HELP!!!!-example-1

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Answer:

Answer: Third option is the right answer.

Explanation:

First we the write the expression


(a+b)(a^(2)+b^(2)-ab)

Now teacher says that the product of these polynomials will result in the sum of
a^(3)+b^(3)

Now the teacher ask if we put the value of a = 2x and b = 1 then what will be the expression look like.


(2x+1)\left [ (2x)^(2)+(1^(2))-(2x)(1)\right ]

=
(2x+1)(4x^(2)+1-2x)

So third option is looking like our expression.

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