PLz solve this and i will mrk u as brainlist and rate 5 out of 5
Show that (a-b)^3+(b-c)^3=(c-a)^3=3(a-b)(b-c)(c-a)
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Answered by
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(a-b)3+(b-c)3
= a3- 3a2b +3ab2-b3 + b3 - 3b2c + 3bc2-c3
= the question is wrong.
MouryaTurbo:
yes sry :-)
mistake
Answered by
1
Certainly!
Let a−b=x,b−c=y,c−a=z.a−b=x,b−c=y,c−a=z. It is obvious that:
x+y+z=0
Hence x3+y3+z3−3xyz=(x+y+z)(x2+y2+z2−xy−xz−yz)=0
x3+y3+z3−3xyz=(x+y+z)(x2+y2+z2−xy−xz−yz)=0
x3+y3+z3=3xyz
x3+y3+z3=3xyz
..
plzz mark it brainest if it helps u..plzz
Let a−b=x,b−c=y,c−a=z.a−b=x,b−c=y,c−a=z. It is obvious that:
x+y+z=0
Hence x3+y3+z3−3xyz=(x+y+z)(x2+y2+z2−xy−xz−yz)=0
x3+y3+z3−3xyz=(x+y+z)(x2+y2+z2−xy−xz−yz)=0
x3+y3+z3=3xyz
x3+y3+z3=3xyz
..
plzz mark it brainest if it helps u..plzz
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