Difference of Two Squares Calculator
This is a factoring calculator if specifically for the factorization of the difference of two squares. If the input equation can be put in the form of a2 - b2 it will be factored. The work for the solution will be shown for factoring out any greatest common factors then calculating a difference of 2 squares using the idenity:
Factored terms that contain additional differences of two squares will also be factored.
Difference of Two Squares when a is Negative
If both terms a and b are negative such that we have -a2 - b2 the equation is not in the form of a2 - b2and cannot be rearranged into this form.
If a is negative and we have addition such that we have -a2 + b2 the equation can be rearranged to the form of b2 - a2which is the correct equation only the letters a and b are switched; we can just rename our terms.
For example, factor the equation
We can rearrange this equation to
and now solve the difference of two squares with a = 36 and b = 4y2
Factor the equation (rearranged)
using the identity
First factor out the GCF:
Both terms are perfect squares so from a2 - b2 we can find a and b.
Complete the factoring of a2 - b2 to (a + b)(a - b)