(2a-3b)³,Expand it, using suitable identities.
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Solution :
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We know the algebraic identity,
( x - y )³ = x³ - 3x²y + 3xy² - y³
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Now ,
( 2a - 3b )³
= (2a)³-3*(2a)²*3b+3*2a*(3b)²-(3b)³
= 8a³ - 3*4a²*3b+6a*9b²-27b³
= 8a³ - 36a²b + 54ab² - 27b³
•••••
*******************************************
We know the algebraic identity,
( x - y )³ = x³ - 3x²y + 3xy² - y³
*******************************************
Now ,
( 2a - 3b )³
= (2a)³-3*(2a)²*3b+3*2a*(3b)²-(3b)³
= 8a³ - 3*4a²*3b+6a*9b²-27b³
= 8a³ - 36a²b + 54ab² - 27b³
•••••
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