Theory:

Let us see the classification of multiplication of algebraic expression.
  1. Multiplication of monomial with a monomial.
  2. Multiplication of polynomial with a monomial.
  3. Multiplication of binomial with a binomial.
  4. Multiplication of polynomial with a polynomial.
Points to remember while doing multiplication of algebraic expression.
  1. Look for the sign of the terms. That is, if both the terms have like signs (\(+,+\)) (or) (\(-,-\)) then the result will have \(+\) sign. If both the terms have unlike signs (\(+,-\)) then the result will have a \(-ve\) sign.
  2. Multiply the corresponding coefficient of the terms.
  3. Multiply the variables using the law of exponents.