Math, asked by kritabhi, 1 year ago

if X + Y + Z =0 show that X^3 + Y^3 + Z^3= 3 xyZ (without the help of the formula)

Answers

Answered by ShuchiRecites
2
Hello Mate!

x^3 + y^3 + z^3 - 3xyz = ( x + y + z )( x^2 + y^2 + z^2 - xy - yz - xz )

Now, as x + y + z = 0

x^3 + y^3 + z^3 - 3xyz = 0 ( x^2 + y^2 + z^2 - xy - yz - xz )

x^3 + y^3 + z^3 = 3xyz

Hope it helps☺!✌

kritabhi: ok
kritabhi: can you do it without the help of the formula
ShuchiRecites: I don't think I have done same ques, but formula id needed
ShuchiRecites: is*
kritabhi: oj
kritabhi: ok
ShuchiRecites: So is it correct?
kritabhi: yeah
ShuchiRecites: This question is of chap - 2 from NCERT , ryt
ShuchiRecites: I am also in 9th and have done this question yesterday only
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