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Q.

The value of (141) 2 − (140) 2 after simplification is ____.


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Detailed Solution

The value of (141) 2 − (140) 2 after simplification is 281.
Given, (141) 2 − (140) 2 .
We will use a 2 − b 2 = a+b a−b for solving this problem.
Now, comparing 141 2 − 140 2 with a 2 − b 2 we get,
a=141 and b=140.
Substituting a=141 and b=140 in the above algebraic identity we get,
141 2 − 140 2 = 141+140 141−140 = 281 1 =281
Thus, the value of 141 2 − 140 2 =281.
 
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