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Factorise 8x^3+27 y^3+36 x^2y+54 x y^2 ....

Factorise `8x^3+27 y^3+36 x^2y+54 x y^2` .

Text Solution

Verified by Experts

Given:`8x³ - 27y³ - 36x²y + 54xy^2`
= `(2x)³ – (3y)³ – 3 × (2x)² × 3y + 3 × 2x × (3y)²`
Using, `(a - b)³ = a³ - b³ - 3a²b + 3ab²`
= `(2x - 3y)³`
= `(2x - 3y)(2x - 3y)(2x - 3y)`.
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