The difference of the squares of any two quantities is equal to the product of their sum and difference, is called the difference of squares rule.
Let the literals $a$ and $b$ denote two variables.
According to a mathematical property, the difference of the squares of any two quantities is exactly equal to the product of their sum and difference. It can be written in mathematical form as follows.
$\implies$ $a^2-b^2$ $\,=\,$ $(a+b) \times (a-b)$
$\,\,\,\therefore\,\,\,\,\,\,$ $a^2-b^2$ $\,=\,$ $(a+b)(a-b)$
It is an algebraic identity and it is called the difference of squares law.
The difference of squares identity is also expressed in terms of variables $x$ and $y$ alternatively.
$x^2-y^2$ $\,=\,$ $(x+y)(x-y)$
The difference of squares algebraic identity is mainly used as a formula in two cases in mathematics.
List of the understandable examples to learn how to use the difference of squares rule in mathematics.
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