| Find \[\frac{{{(288+155)}^{2}}-{{(288-155)}^{2}}}{288\times 155}\] |
A) 8
B) 4
C) 2
D) 6
Correct Answer: B
Solution :
| \[\because \]\[\frac{{{(288+155)}^{2}}-{{(288-155)}^{2}}}{288\times 155}\] |
| \[=\frac{(288+155+288-155)(288+155-288+155)}{288\times 155}\]\[=\frac{(288+288)(155+155)}{288\times 155}\] |
| \[=\frac{2\times 288\times 2\times 155}{288\times 155}=4.\] |
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