Question

Factorize : (3x - 5y)3 - (5x - 2y)3 + (2x + 3y)3​

Answer 1

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)