Which of the following is a factor of (x+y)3−(x3+y3)?
3xy
Given, P(x) = (x+y)(x+y)2−(x+y)(x2−xy+y2) = (x+y)(x2+2xy+y2)−(x+y)(x2−xy+y2)
= (x+y)(3xy)
Hence, 3xy is a factor for the given polynomial expression.
The expanded form of an expression is (x–y)(x2+xy+y2). Which of the following is the expression?