find x^3+y^3-12xy+64 when x+y=4
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i think x+y= (-4) else it won't be solved
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x³ + y³ - 12xy + 64
(x)³ + (y)³ - 3(x)(y)(4) + (4)³
( x + y + 4 ) ( x² + y² + 4² - xy - y4 - 4x )
( x + y + 4 ) ( x² + y² + 16 - xy - 4y - 4x )
We know ( x + y ) = -4
So ( - 4 + 4 ) ( x² + y² + 16 - xy - 4y - 4x )
( 0 ) ( x² + y² + 16 - xy - 4y - 4x )
= 0
(x)³ + (y)³ - 3(x)(y)(4) + (4)³
( x + y + 4 ) ( x² + y² + 4² - xy - y4 - 4x )
( x + y + 4 ) ( x² + y² + 16 - xy - 4y - 4x )
We know ( x + y ) = -4
So ( - 4 + 4 ) ( x² + y² + 16 - xy - 4y - 4x )
( 0 ) ( x² + y² + 16 - xy - 4y - 4x )
= 0
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