Question

factories :
125x^3-343y^3

Answer 1

$<b>Heya mate. (^_-). Solution below.$
=========================================
★ Factorise : 125x³ - 343y³





★ 125x³ - 343y³

= (5x)³ - (7y)³



• Using identity : a³ - b³ = (a - b)(a² + ab + b²)


= [(5x - 7y)][(5x)² + (5x × 7y) + (7y)²]

= (5x - 7y) (25x² + 35xy + 49y²)



♥ •°• 125x³ - 343y³ = (5x - 7y)(25x² + 35xy + 49y²)
=========================================

Thank you.. (^^)

Answer 2

Answer:

(5x-7y)[25x^2 + 49y^2 + 35xy]

Step-by-step explanation:

Given Equation is 125x³ - 343y³

⇒ (5x)³ - (7y)³

We know that a³ - b³ = (a - b)(a² + b² + ab)

⇒ (5x - 7y)[(5x)² + (7y)² + (5x)(7y)]

⇒ (5x - 7y)[25x² + 49y² + 35xy].

Hope it helps!