expand (5a-3b)whole cube
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Answered by
43
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As we know ,
( x – y )³ = x³ – 3x²y + 3xy² – y³
( x – y )³ = ( x – y ) ( x² + y² – 2xy )
Now , ( 5a – 3b )³
= (5a)³ – 3(5a)²(3b) + 3(5a)(3b)² – (3b)³
= 125a³ – 225a²b + 135ab² – 27b²
( 5a – 3b )³
= ( 5a – 3b ) [ (5a)² + ( 3b)² – 2( 5a )( 3b ) ]
= ( 5a – 3b ) ( 25a² + 9b² – 30ab )
As we know ,
( x – y )³ = x³ – 3x²y + 3xy² – y³
( x – y )³ = ( x – y ) ( x² + y² – 2xy )
Now , ( 5a – 3b )³
= (5a)³ – 3(5a)²(3b) + 3(5a)(3b)² – (3b)³
= 125a³ – 225a²b + 135ab² – 27b²
( 5a – 3b )³
= ( 5a – 3b ) [ (5a)² + ( 3b)² – 2( 5a )( 3b ) ]
= ( 5a – 3b ) ( 25a² + 9b² – 30ab )
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18
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hope it hlp you guys_s
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