Verify : x3+ y3= (x + y) (x2 – xy + y2)
To proove x3 + y3 = (x + y) ( x2 – xy + y2)
Since (x+y)3 = x3 +y3 + 3xy(x + y)
⇒ x3+ y3 = (x+y)3 - 3xy(x + y)
⇒ x3 + y3 = (x+y) [(x+y)2 - 3xy]
⇒ x3 + y3= (x+y) [x2 + y2 + 2xy - 3xy]
⇒ x3 + y3 = (x+y) (x2 + y2 -xy)
Hence prooved