Question

What polynomial identity will prove that 117=125-8

Answer 1

Answer:

Difference of cubes polynomial identity prove that 117 =125-8

Step-by-step explanation:

Difference of cubes:- A polynomial in the form of $a^3 -b^3$ is called  the difference of cubes.

The formula for difference of cubes is;

$a^3 -b^3 = (a-b)(a^2+b^2+ab)$

To prove: 117 = 125 - 8

Take RHS

$125-8 = 5^3 -2^3$

Apply difference of cubes;

$5^3-2^3 = (5-2)(5^2+2^2+5\cdot 2)$

                     =$3(25+4+10) = 3(39) = 117$ = LHS       hence proved!

Therefore, difference of cubes polynomial identity will prove that 117 = 125-8