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Factoring Binomials - Difference of Squares

Related Topics: More Algebra Lessons , Algebra Games

Objective: I can factor binomials that are difference of squares.

A difference of squares is a binomial of the form:


Take note that the first term and the last term are both perfect squares.

When we factor a difference of two squares, we will get

a2b2 = (a + b)(a – b)

This is because (a + b)(a – b) = a2ab + ab – b2 = a2b2

Read the lesson on Difference of Squares if you need more information.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Factor the following.
Enter each answer in the format (x+1)(x-1), with no spaces.

x2 – 25 =

x2 – 9 =

x2 – 81 =

x2 – 100 =

x2 – 49 =

9x2 – 16 =

4x2 – 9 =

x2 – 36 =

49x2 – 64 =

x2 – 1 =

25x2 – 1 =

x2 – 121 =

25x2 – 9 =

64x2 – 9 =

x2 – 4=

Factoring Binomials Calculator
Type in the binomial and select factor.

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