solve the following equation 387 xx 114 2, Numbers, General Mathematics

Question:Solve the following equation `(387  xx 387 + 114 xx 114 + 2 xx 387 xx 114)=(...?...)`

A `250001` 
B `251001` 
C `260110` 
D `261001`

/118

+ AnswerB

+ ExplanationUse of formula, 
`( a^2 + b^2 + 2ab) = (a+b)^2`
We have,
`387 xx 387 + 114 xx 114 + 2 xx 387 xx 114`
`=(387)^2 + (114)^2 + 2 xx 387 xx 114`
`=(387 + 114)^2 =(501)^2 = (500 + 1)^2`
`=(500)^2 + (1)^2 =2 xx 500 xx 1`
`=250000 + 1 +1000 = 251001`

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