= A(x − p)³ - B(x - q)³ = 0
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Answer:
Hi ,
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If x + y + z = 0 ,
Then ,
x³ + y³ + z³ = 3xyz
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Here ,
Let x = p - q ,
y = q - r ,
z = r - p ;
Now ,
x + y + z = p - q + q - r + r - p
x + y + z = 0
Therefore ,
x³ + y³ + z³ = 3xyz
( p - q )³ + ( q - r )³ + ( r - p )³
= 3( p - q )( q - r )( r - p )
I hope this helps you.
: )
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