Math, asked by khushi950, 1 year ago

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

Answers

Answered by Nikki57
13
Hey!

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Refer to the pic for answer.

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Hope it helps...!!!
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khushi950: answer is 0
khushi950: hmmm
khushi950: plzzzzzzzzzzzzzzzzzzzzssszzzzzSs reply⬅
Nikki57: answer is zero?
Nikki57: If we will further factorise using (a-b)^3 identity, it will be zero
khushi950: okkk
khushi950: i understand
khushi950: thanks
Answered by jaya1012
7
HELLO.........FRIEND!!

THE ANSWER IS HERE,

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

This is in the form of

=> a^3 +b^3 +c^3

So, Lets find the value of a+b+c.

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

=> x-2y+2y-3z+3z-x

=> 0.

Here, a+b+c =0. So,

a^3 +b^3 +c^3 = 3abc

=> 3 (x-2y)(2y-3z)(3z-x)
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