$(1) \,\,\,$ $a^2-b^2$ $\,=\,$ ${(a+b)}{(a-b)}$

$(2) \,\,\,$ $x^2-y^2$ $\,=\,$ ${(x+y)}{(x-y)}$

The formula for the difference of squares is usually represented by $a^2-b^2$ or $x^2-y^2$ algebraically in mathematics. It can be factored as the product of two binomials whose terms are connected by opposite signs.

$a$ and $b$ are two terms, and they form two binomials $a+b$ and $a-b$ by connecting both terms with opposite signs. The difference of two terms is $a^2-b^2$ and it can be factored as the product of both binomials by the factorization.

$a^2-b^2$ $\,=\,$ ${(a+b)}{(a-b)}$

The difference of two terms formula is also written in terms of $x$ and $y$ alternatively.

$x^2-y^2$ $\,=\,$ ${(x+y)}{(x-y)}$

So, you can use any one of them to express a formula for the difference of two square terms in mathematics. This identity in algebraic form is most important for factoring difference of any two terms.

Latest Math Topics

Latest Math Problems

Email subscription

Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers.
Know more

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.