Simplify (x + y)3 - (x - y)3 - 6y(x + y) (x - y) by using suitable identity
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=(x+y)
3
−(x−y)
3
−6y(x
2
−y
2
)
=(x+y)
3
−(x−y)
3
−6y(x−y)(x+y)
=(x+y)
3
−(x−y)((x−y)
2
+6y(x+y))
=(x+y)
3
−(x−y)(x
2
+y
2
−2xy+6xy+6y
2
)
=(x+y)
3
−(x−y)(x
2
+7y
2
+4xy)
=x
3
+y
3
+3x
2
y+3xy
2
−x
3
−7xy
2
−4x
2
y+x
2
y+7y
3
+4xy
2
=8y
3
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