Question

factorise 8x^3-125y^3​

Answer 1

Answer:

$(2x-5y)(4x^{2} +25y^{2} + 10xy )$

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Step-by-step explanation:

$8x^{3} -125y^{3}$

⇒ $(2x)^{3} -(5y)^{3}$

Using formula ⇒ $a^{3} - b^{3} = (a-b)(a^{2} +b^{2} +ab)$

⇒  $(2x-5y)[(2x)^{2} +(5y)^{2} + 10xy]$

⇒ $(2x-5y)(4x^{2} +25y^{2} + 10xy )$