simplify the given polynomial
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bhai jaldi kar yaar plz
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Hi ,
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We know the algebraic identity,
(a + b )( a² - ab + b² ) = a³ + b³
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1 ) ( 4x + 3y ( 16x² - 12xy + 9y² )
= ( 4x + 3y )[ ( 4x )² - 4x × 3y + ( 3y )² ]
= ( 4x )³ + ( 3y )³
= 64x³ + 27y³ -----( 1 )
Now ,
7x³ + 8y³ - ( 4x + 3y)(16²-12xy+9y² )
=7x³+8y³- ( 64x³ + 27y³ )
[ From ( 1 ) ]
= 7x³ + 8y³ - 64x³ - 27y³
= - 57x³ - 19y³
I hope this helps you.
: )
**************************
We know the algebraic identity,
(a + b )( a² - ab + b² ) = a³ + b³
********************************
1 ) ( 4x + 3y ( 16x² - 12xy + 9y² )
= ( 4x + 3y )[ ( 4x )² - 4x × 3y + ( 3y )² ]
= ( 4x )³ + ( 3y )³
= 64x³ + 27y³ -----( 1 )
Now ,
7x³ + 8y³ - ( 4x + 3y)(16²-12xy+9y² )
=7x³+8y³- ( 64x³ + 27y³ )
[ From ( 1 ) ]
= 7x³ + 8y³ - 64x³ - 27y³
= - 57x³ - 19y³
I hope this helps you.
: )
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