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Question
75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to
Options
10000
6250
7500
3750
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Solution
We have to find the product of `75xx75+2xx75 xx 25+25 xx 25`
Using identity `(a+b)^2 = a^2 + 2ab +b^2`
`(a+b)^2 = a xx a +2 xx b +b xx b`
Here ` a = 75 , b = 25
`(75+25)^2 = 75 xx 75 +2 xx 75 xx 25 +25 xx 25`
`(100)^2 = 75 xx 75 +2 xx 75 xx 25+ 25xx 25`
`10000 = 75 xx 75 +2 xx 75 xx 25 +25 xx 25`
Hence the product of `75 xx 75 +2 xx 75 xx 25 +25 xx 25` is 10,000 .
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