Factoring Binomials Calculator

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Binomial expressions are a part of the Polynomials group of Algebraic expressions. Binomials are polynomials which consist of only two terms and hence the name. Binomials can be simplified further and can also be solved using various techniques. Factoring binomials calculator is the instant tool which can simplify any given binomial expression.


Example 1: Factor the given binomial expression: 3x + 12y
                                                         Given binomial expression: 3x + 12y
In the above two terms, we can see that ‘3’ is a common factor since ‘3’ can divide both
                                                       ‘3’ and ‘12’.
Hence  We pull the ‘3’ outside the terms and inside we are left with ‘x’ for the first term and ‘4y’ for the second term.
                                                       3x + 12y = 3(x + 4y)

Hence the binomial expression can be factored as  3x + 12y = 3(x + 4y)

 
Example 2: Factor the given binomial expression: x3 – x

Given polynomial expression: x3 – x

In the above two terms, we can see that ‘x’ is a common factor.

                                                 Hence  x(x2 – 1)

Now ‘x2 – 1’ is in the form of the formula  a2 – b2 = (a + b)(a – b)
                                                 x 2 – 1 = (x2 – 12) = (x + 1)(x – 1)

Hence the polynomial expression can be factored as  x3 – x = x(x + 1) (x – 1)

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