Verified Answer :

Choices:
A: Difference of cubes
B: Difference of Squares
C: Square of Binomial

D: Sum of Cubes

The polynomial identity used is B. DIFFERENCE OF SQUARES

21 = 25 - 4
21 = 5
² - 2²

the complete question is

What polynomial identity should be used to prove that 21 = 25 − 4

A: Difference of cubes

B: Difference of Squares

C: Square of Binomial

D: Sum of Cubes

we know that

The difference of two squares is a squared number subtracted from another squared number

So

\((a^{2} -b^{2} )=(a+b)*(a-b)\)

In this problem

\(25=5^{2}\\ 4=2^{2}
\)

then

\((5^{2} -2^{2} )=(5+2)*(5-2)\)

\((5^{2} -2^{2} )=(7)*(3)\)

\((5^{2} -2^{2} )=21\)

\(25-4=21\)

therefore

the answer is the option

B: Difference of Squares