factorise=(p-q)^3 + (q-r)^3 + (r-p)^3
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Answer :
3(p-q)(q-r)(r-p)
Explanation:
__________________
We know that ,
If a+b+c = 0 then
a³+b³+c³ = 3abc
__________________
Here ,
a=p-q , b = q-r , c = r-p
Now,
a+b+c
= p-q+q-r+r-p
= 0
Therefore,
(p-q)³+(q-r)³+(r-p)³
= 3(p-q)(q-r)(r-p)
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