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Question
Simplify the following: 175 x 175 x 2 x 175 x 25 x 25 x 25
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Solution
We have
175 x 175 + 2 x 175 x 25 + 25 x 25 = (175)2 + 2(175)(25) + (25)2
= (175 + 25)2 [∵ a2 + b2 + 2ab = (a + b)2]
=(200)2 = 40000 [here a = 175 and b = 25]
∴ 175 x 175 + 2 x 175 x 25 + 25 x 25 = 40000
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