Question

factorriz: 8y³-125x³​

Answer 1

Answer:

(2y)³-(5x)³

Step-by-step explanation:

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Answer 2

$\huge\tt\red{\underline{Answer}}$

This factorisation is done by the algebraic formula:

${a}^{3} - {b}^{3} \\ = (a - b)( {a}^{2} + ab + {b}^{2} )$

$∴8 {y}^{3} - 125 {x}^{3} \\ = {(2y)}^{3} - {(5x)}^{3} \\ = (2y - 5x)[ {(2y)}^{2} + (2y)(5x) + {(5x)}^{2} ] \\ = (2y - 5x)(4 {y}^{2} + 10xy + 25 {x}^{2} )$