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Which polynomial identity will prove that 49 = (2 + 5)2?

Difference of Squares

Difference of Cubes

Sum of Cubes

Square of a Binomial

Question

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Which polynomial identity will prove that 49 = (2 + 5)2?

 Difference of Squares

 Difference of Cubes

 Sum of Cubes

 Square of a Binomial

mathstudent55 · Answer

(2 + 5) can be thought of as (a + b)
(a + b) is a two-term polynomial.
What is it called?
When you have (a + b)^2, what is that called?

anonymous · Answer

So it's difference of squares?

mathstudent55 · Answer

I don't see any difference of squares anywhere.

anonymous · Answer

Oh ok. So it's one of the others.

mathstudent55 · Answer

Difference of squares is

$a^2 - b^2 = (a + b)(a - b) $

anonymous · Answer

Would it be square of a binomial?

mathstudent55 · Answer

a + b is a binomial, just like 2 + 5.
(2 + 5)^2 is the square of a binomial.

You are correct.

anonymous · Answer

Thank you! Can you help me with another question?

anonymous · Answer

@mathstudent55

mathstudent55 · Answer

Sure.

anonymous · Answer

I'll open a new question since I closed this one

mathstudent55 · Answer

Ok. I'll look for it.