Answer
$3,591$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To simplify the given expression, $
63\times57
,$ get the middle number between $63$ and $57$. Then use the special product for the sum and difference of like terms.
$\bf{\text{Solution Details:}}$
The middle number between $63$ and $57$ is $60.$ Using the product of the sum and difference of like terms which is given by $(a+b)(a-b)=a^2-b^2,$ the expression above is equivalent\begin{array}{l}\require{cancel}
(60+3)(60-3)
\\\\=
(60)^2-(3)^2
\\\\=
3600-9
\\\\=
3,591
.\end{array}
