  home adding and subtracting fractions removing brackets 1 comparing fractions complex fractions decimals 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 inequalities linear equations linear inequalities multiplying and dividing fractions multiplying fractions multiplying polynomials percents polynomials powers powers and roots quadratic equations quadratic expressions radicals rational expressions inequalities with fractions rationalizing denominators reducing fractions to lowest terms roots 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!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

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.

EXAMPLE

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

Solution EXAMPLE

Find (2k - 5) Solution

Use FOIL.

(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 + 3x y + 3xy + y Remember, for any value of n 1 