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Find the value of $$[(525 + 252)^2 - (525 - 252)^2 ]/ (525 \times 252)$$.
$$(a+ b)^2 =a^2 + 2\times a\times b +b^2$$
$$(a- b)^2 =a^2 - 2\times a\times b +b^2$$
$$(a+ b)^2 -(a- b)^2 = 4\times a\times b$$
so,
$$[(525 + 252)^2 - (525 - 252)^2 ]/ (525 \times 252)$$.
=) $$\frac{4\times a\times b}{a\times b}$$
=) $$\frac{4\times 525\times 252}{525\times 252}$$
= 4
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