(x + y)(x2– xy + y2)

To expand the expression (x + y)(x^2 - xy + y^2), we can use the distributive property.

Step 1: Multiply the first term of the first binomial (x) by each term in the second binomial (x^2 - xy + y^2): x * x^2 = x^3 x * (-xy) = -x^2y x * y^2 = xy^2

Step 2: Multiply the second term of the first binomial (y) by each term in the second binomial (x^2 - xy + y^2): y * x^2 = yx^2 = xy^2 y * (-xy) = -xy^2 y * y^2 = y^3

Step 3: Combine the like terms: x^3 + (-x^2y) + (xy^2) + (xy^2) + (-xy^2) + y^3

Simplifying the expression further, we get: x^3 - x^2y + 2xy^2 - xy^2 + y^3

Finally, combining like terms again, we have the expanded form of the expression: x^3 - x^2y + xy^2 + y^3