Question

How do you factor the expression `125x^3 + 343y^3`?

Answer 1

Factor: `125x^3 + 343y^3`

Ans: `(5x + 7y)(25x^2 - 35x + 49y^2)`

Explanation:

Use the algebraic identity: `a^3 + b^3 = (a + b)(a^2 - ab + b^2)`
`125x^3 + 343y^3 = (5x + 7y)(25x^2 - 35xy + 49y^2)`