Question
(475 x 475 + 125 x 125) = ?
Answer: Option A
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We have `(a^2 + b^2) = 1/2 [(a + b)^2 + (a - b)^2]`
`:.` ` (475)^2 + (125)^2 = 1/2[ (474 + 125)^2 + (475 - 125)^2]`
= `1/2 [ (600)^2 + (350)^2]`
= ` 1/2 [ 360000 + 122500]`
= `1/2 ` x 482500
= 241250
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