Factor 125x3 + 343y3

(5x + 7y) (25x² - 35xy + 49y²)

Step-by-step explanation:

125x³ + 343y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b) (a² - ab + b²)

125x³ = (5x) ³ ⇒ a = 5x

343y³ = (7y) ³ ⇒ b = 7y

125x³ + 343y³

= (5x + 7y) ((5x) ² - (5x * 7y) + (7y) ²)

= (5x + 7y) (25x² - 35xy + 49y²) ← in factored form