Factorise 64acube-27bcube-144asquare b+108ab square.
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Hi ,
We know the identity ,
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x³ - y³ -3x²y + 3xy² = ( x - y )³
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64a³ - 27b³ - 144a²b + 108ab²
= ( 4a )³-( 3b )³-3×(4a)² b +3×4a×(-3b )²
= ( 4a - 3b )³
= ( 4a - 3b )( 4a - 3b )(4a - 3b )
I hope this helps you.
:)
We know the identity ,
______________________
x³ - y³ -3x²y + 3xy² = ( x - y )³
______________________
64a³ - 27b³ - 144a²b + 108ab²
= ( 4a )³-( 3b )³-3×(4a)² b +3×4a×(-3b )²
= ( 4a - 3b )³
= ( 4a - 3b )( 4a - 3b )(4a - 3b )
I hope this helps you.
:)
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