(2x 3y)^3 = (2x)^3 3(2x)^2 #160;(3y) + 3(2x) (3y)^2 (3y)^3 = 8x^3 36x^2 y + 54xy^2 27 y^3 ...

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Algebraic Identities

Expand 2x -...

Question

Expand $(2 x - 3 y)^{3}$

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Solution

$(2 x - 3 y)^{3} = (2 x)^{3} - 3 (2 x)^{2} (3 y) + 3 (2 x) (3 y)^{2} - (3 y)^{3}$
$= 8 x^{3} - 36 x^{2} y + 54 x y^{2} - 27 y^{3}$

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