Question

What polynomial identity should be used to prove that 117= 125 - 8?

Difference of Cubes

Difference of Squares

Square of Binomial

Sum of Cubes

Answer 1

`a^(3)-b^(3) =(a-b)(a^(2) +ab+b^(2) )`125-8=
`5^(3) -2^(3) =(5-2)( 5^(2) +5*2+2^(2) )=3*(25+10+4)`=3*39=117
Answer: Difference of Cubes.