Question : The value of $[ \frac{(0.337+0.126)^{2}-(0.337-0.126)^{2}}{0.337\times 0.126} ]$ is:
Option 1: 4
Option 2: 0.211
Option 3: 0.463
Option 4: 0.4246
Correct Answer: 4
Solution :
Consider, $[ \frac{(0.337+0.126)^{2}-(0.337-0.126)^{2}}{0.337\times 0.126}]$
We know, $a^2-b^2=(a-b)(a+b)$
Here, $a=\small(0.337+0.126)$ and $b=\small(0.337-0.126)$
$=\frac{((0.337+0.126)-(0.337-0.126))((0.337+0.126)+(0.337-0.126))}{0.337\times 0.126}$
$=\frac{(2\times0.126)(2\times0.337)}{0.337\times 0.126}$
$=2\times2$
$= 4$
Hence, the correct answer is 4.
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