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Question
Evaluate the following without multiplying:
(95)2
Sum
Solution
Using(x + y)2
= x2 + 2xy + y2, we get
(95)2
= (100 - 5)2
= (100)2 - 2(100)(5) + (5)2
= 10000 - 1000 + 25
= 9025.
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