Math, asked by Samayank, 1 year ago

(-2x^3) + (3y^3) + (2z^3)

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Answered by JgK
1
(-2x^3) + (3y^3) + (2z^3)
=-8x³ +27y²+ 27z²

mysticd: it is wrong
Answered by mysticd
1
Hi ,

we know the identity ,

a³ + b³ +c³ = ( a+ b + c ) (a² + b² + c² -ab -bc - ca ) + 3abc

here ,

a = - 2x  ,

b = 3y ,

c= 2z ,

now ,

( -2x )³ + ( 3y )³ + ( 2z )³

= ( -2x + 3y + 2z ) [ (-2x)² + ( 3y )² + ( 2z)² - (-2x)(3y) - (3y ) (2z ) - (2z)(-2x)]

                                                     + 3 ( -2x ) (3y ) ( 2z )

= ( -2x +3y + 2z ) [ 4x² + 9y² +4z² +6xy -6yz +4zx ] - 36xyz

I hope this helps you.

: )
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