Respuesta :

Answer:

Answer: Third option is the right answer.

Step-by-step explanation:

First we the write the expression

[tex](a+b)(a^{2}+b^{2}-ab)[/tex]

Now teacher says that the product of these polynomials will result in the sum of  [tex]a^{3}+b^{3}[/tex]

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

[tex](2x+1)\left [ (2x)^{2}+(1^{2})-(2x)(1)\right ][/tex]

=[tex](2x+1)(4x^{2}+1-2x)[/tex]

So third option is looking like our expression.