Question

Factorire = 8x³+27y³​

Answer 1

Answer:

1

Step-by-step explanation:

as they have no common factor

Answer 2

$\large\sf\underline{Given:}$

• $\sf\:8x^{3}+27y^{3}$

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‎$\large\sf\underline{To:}$

• Factorise the given expression.

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$\large\sf\underline{Solution:}$

We know ,

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

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$\sf\:8x^{3}+27y^{3}$

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$\sf\implies\:(2x)^{3}+(9y)^{3}$

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Here , a = 2x⠀⠀⠀‎⠀ and⠀⠀⠀‎⠀ b = 9y

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• So substituting the value in our formula

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$\sf\implies\:(2x+3y) [(2x) ^{2}-(2x) (3y) +(3y) ^{2}]$

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${\sf{{\purple{\implies\:(2x+3y) [4x ^{2}-6xy+9y^{2}]}}}}$

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!! Hope it helps !!