Question : What is the value of $4^{2}-3^{2}+6^{2}-5^{2}+8^{2}-7^{2}$?
Option 1: 30
Option 2: 33
Option 3: 3
Option 4: 27
Correct Answer: 33
Solution :
$4^{2}-3^{2}+6^{2}-5^{2}+8^{2}-7^{2}$
$=(4+3)(4-3)+(6+5)(6-5)+(8+7)(8-7)$
$=7+11+15$
$=33$
Hence, the correct answer is 33.
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