Mulitpying Special Binomials

When we multiply binomials there are times we run across special cases.

Most binomial multiplication looks like:

(x + 4)(x - 3)   or   (x - 2)(x - 7)    or   (x + 4)(x + 4)

When we multiply binomials with different constants (the number on the end without a variable), we end up with x squared, two like terms and a constant.

 We combine the like terms and end up with a trinomial written in standard form.



Squaring Binomials



When you square a binomial you must expand it to multiply each binomal using the FOIL method.









Difference of Two Squares

The difference of two squares is the product of the sum and difference of the same two terms and equals the difference of their squares.

Notice there is no middle term with the difference of two squares!

Even if we have more complicated binomials we still end up to the difference of perfect squares and no middle term.