question number 2
no smapping
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= x ^ 3 - 8 y ^ 3 + 27 z ^ 3 + 18xyz
= ( x )^3 + ( -2 y ) ^3 + ( 3z ) ^ 3 - 3 ( x ) ( -2y ) ( 3 z )
We know that,
A ^ 3 + B^ 3 + C ^ 3 - 3ABC = ( A + B + C ) ( A ^2 + B^2 + C^2 - AB - BC -CA)
= [ x + ( -2 y ) + 3z ] [ x^2 + ( -2y ) ^2 + ( 3z )^2 - x ( -2y) - ( -2y ) 3z - ( 3z)x]
= ( x - 2y + 3z ) ( x^2 + 4y^2 + 9z^2 +2xy +6yz- 3zx)
= ( x )^3 + ( -2 y ) ^3 + ( 3z ) ^ 3 - 3 ( x ) ( -2y ) ( 3 z )
We know that,
A ^ 3 + B^ 3 + C ^ 3 - 3ABC = ( A + B + C ) ( A ^2 + B^2 + C^2 - AB - BC -CA)
= [ x + ( -2 y ) + 3z ] [ x^2 + ( -2y ) ^2 + ( 3z )^2 - x ( -2y) - ( -2y ) 3z - ( 3z)x]
= ( x - 2y + 3z ) ( x^2 + 4y^2 + 9z^2 +2xy +6yz- 3zx)
gaurav337:
thank you
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Step-by-step explanation:
In order to change what is on the outside, you must change what is on the inside.. In order to change what is on the outside, you must first change what is on the inside.
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