Please help keep this site free, by visiting our sponsor, Algebrator - an amazing software program that gives you step - by - step solution to any algebra problem you enter!
adding and subtracting fractions
removing brackets 1
comparing fractions
complex fractions
notes on the difference of 2 squares
dividing fractions
solving equations
equivalent fractions
exponents and roots
factoring rules
factoring polynomials
factoring trinomials
finding the least common multiples
the meaning of fractions
changing fractions to decimals
graphing linear equations
linear equations
linear inequalities
multiplying and dividing fractions
multiplying fractions
multiplying polynomials
powers and roots
quadratic equations
quadratic expressions
rational expressions
inequalities with fractions
rationalizing denominators
reducing fractions to lowest terms
roots or radicals
simplifying complex fractions
simplifying fractions
solving simple equations
solving linear equations
solving quadratic equations
solving radical equations in one variable
solving systems of equations using substitution
straight lines
subtracting fractions
systems of linear equations
trinomial squares
Try the Free Math Solver or Scroll down to Tutorials!












Please use this form if you would like
to have this math solver on your website,
free of charge.

A binomial is a polynomial with exactly two terms, such as 2x + 1 or m + n. When two binomials are multiplied, the FOIL method (First, Outer, Inner, Last) is used as a memory aid.


Find (2m - 5)(m + 4) using the FOIL method.



Find (2k - 5)



(2k - 5) = (2k - 5)(2k - 5)

= 4k -10k - 10k + 25

= 4k - 20k + 25

Notice that the product of the square of a binomial is the square of the first term (2k), plus twice the product of the two terms, (2)(2k)(-5), plus the square of the last term (-5) .

CAUTION Avoid the common error of writing (x + y) = x + y. As Example 5 shows, the square of a binomial has three terms, so

(x + y) = x + 2xy + y

Furthermore, higher powers of a binomial also result in more than two terms. For example, verify by multiplication that

(x + y) = x + 3xy + 3xy + y

Remember, for any value of n1