Factorize : (3x - 5y)3 - (5x - 2y)3 + (2x + 3y)3
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Answer:
Let
a = ( 3x - 5y )
b = - ( 5x - 2y )
c = ( 2x + 3y )
We know that
a + b + c = 0
Now ,
a³ + b³ + c³ = 3abc
(3x-5y)³ + -(5x-2y)³ + (2x+3y)³ = -3.(3x-5y).(5x-2y).(2x+3y)
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