1.

(x-2/3*y)³,Expand it, using suitable identities.

Answer» SOLUTION :

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We KNOW the algebraic IDENTITY,

(a-b)³ = a³- 3a²b + 3ab² - b³

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Here ,

a = x , b = 2Y/3 ,

Now ,

( x - 2y/3 )³

= x³-3*x²*(2y/3)+3*x*(2y/3)² - (2y/3)³

= x³ - (3x²*2y)/3 + ( 3x*4y²)/9 - 8y³/27

= x³ - 2x²y + 4xy²/3 - 8y³/27

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