Question

Co) Factorise
125 x³ – 64Y³​

Answer 1

Question:

Factorise125 x³ – 64Y³

Answer:

$125 {x}^{3} - 64 {y}^{3} \\ = (5x \times 5x \times 5x) - (4y \times 4y \times 4y) \\ = {(5x)}^{3} - {(4y)}^{3} \\ = (5x - 4y)( {(5x)}^{2} + {(4y)}^{2} + 5x \times 4y) \\ = (5x - 4y)(25 {x}^{2} + 16 {y}^{2} + 20y)$