Question

Which polynomial identity will prove that 117 = 125 − 8?

Difference of Squares
Difference of Cubes
Sum of Cubes
Square of a Binomial

Answer 1

@hartnn @ganeshie8

Answer 2

125=5^3

Answer 3

8=2^3

Answer 4

a³ - b³ = (a - b)(a² + a b + b²)

125 - 8 = 5³ - 2³ = (5 - 2)(5² + 5·2 + 2²) = 3·39 = 117

Answer 5

What do you think?

Answer 6

difference of cubes ?

Answer 7

yup :)

Answer 8

difference of cubes
a³ - b³ = (a - b)(a² + a b + b²)

125 - 8 = 5³ - 2³ = (5 - 2)(5² + 5·2 + 2²) = 3·39 = 117

Answer 9

Thank you!! :)