Simplify the expression by combining the like terms:
`7x^3 -3x^2y + xy^2 + x^2y - y^3`

The like terms in 3x(3-2y) and 2(xy+x^2) are

Simplify combining like terms: (3y^(2) +5y - 4) - (8y - y^(2) - 4)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. x + 3x^3y + 3x^2y^2 - 3x^3y - 3xy^3 + y^4 - 3x^2y^2

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. 3x^2yz^2 – 3xy^2z + x^2yz^2 + 7xy^2z

Simplify the expressions and evaluate them as directed: ( i ) x(x-3)+2 for x=1 (ii) 3y(2y-7)-3(y-4)-63 for y=2

Add the following expressions: x^3 - x^2y - xy^2 - y^3 and x^3-2x^2y + 3xy^2 + 4y