Question

Factorise with factor theorem: 8y^3-125x^3

Answer 1

$\\ \\ = > 8 {y}^{3} - 125 {x}^{3} \\ \\ = > {(2y)}^{3} - {(5x)}^{3} \\ \\ = > (2y - 5x)(( {2y)}^{2} + 2x \times 5y + ( {5x)}^{2} ) \\ \\ = > (2y - 5x)(4 {y}^{2} + 10xy + 25 {y}^{2} ) \: \: \: \: \: \: \: (ans)$