Algebra Coach Exercises |
Use the distributive law to remove the brackets. Simplify each term using the properties of exponents.
Distributing a negative monomial causes the signs in the multinomial (+ − −) to reverse (to become − + +). Simplify each term using the properties of exponents.
Algebra Coach Exercises |
It is a good idea to show this “baby step” distribution where the second multinomial is kept together. Distribute twice more and line up the like terms. Combine the like terms.
Distribute using the foil method.
After canceling like terms, the result is a so-called difference of squares.
Write the square as the multinomial multiplied by itself.
Distribute using the foil method.
Simplify. Compare this with the previous example. Here the like terms add instead of cancel.
Algebra Coach Exercises |