Difference of Two Squares Calculator

This is a factoring calculator specifically designed for the factorization of the difference of two squares. If the input equation can be expressed in the form a² – b² , it will be factored. The solution will show the steps for factoring out any greatest common factors and then applying the difference of squares identity: a² – b² = (a+b)(a−b)

If the factored terms contain additional differences of squares, they will also be factored.

Difference of Two Squares when a is Negative If both terms aa and bb are negative, resulting in an equation like a² – b² , it cannot be factored into the difference of squares form a² – b² and cannot be rearranged.

If aa is negative and the equation is in the form -a² + b² , it can be rearranged as b² – a² . In this case, you can simply rename the terms, swapping the letters a and bb

Example: Factor the equation -4y^2 + 36

We can rearrange this equation to: 36x^0 – 4y^2

Now, apply the difference of squares formula with a = 36 and b = 4y^2 to factor it.