Question 47

Find the value of $$[(525 + 252)^2 - (525 - 252)^2 ]/ (525 \times 252)$$.

Solution

$$(a+ b)^2 =a^2 + 2\times a\times b +b^2$$

$$(a- b)^2 =a^2 - 2\times a\times b +b^2$$

$$(a+ b)^2 -(a- b)^2 = 4\times a\times b$$

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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