how to use IV identites

Asked by demo | 8th Sep, 2014, 09:54: PM

Expert Answer:

1. space open parentheses a plus b close parentheses squared equals a squared plus 2 a b plus b squared F o r space e x a m p l e : left parenthesis 98 plus 2 right parenthesis squared equals left parenthesis 98 right parenthesis squared plus 2 cross times 98 cross times 2 plus left parenthesis 2 right parenthesis squared space space space space space space space space space space space space space equals 9604 plus 392 plus 4 space space space space space space space space space space space space space equals 10000 space space 2. space left parenthesis a minus b right parenthesis squared equals a squared minus 2 a b plus b squared F o r space e x a m p l e : left parenthesis 502 minus 2 right parenthesis squared equals left parenthesis 502 right parenthesis squared minus 2 cross times 502 cross times 2 plus left parenthesis 2 right parenthesis squared space space space space space space space space space space space space space equals 252004 minus 2008 plus 4 space space space space space space space space space space space space space equals 250000 3. space a squared minus b squared equals left parenthesis a plus b right parenthesis left parenthesis a minus b right parenthesis F o r space e x a m p l e : 13 squared minus 12 squared equals left parenthesis 13 plus 12 right parenthesis left parenthesis 13 minus 12 right parenthesis space space space space space space space space space space space space space equals 25 cross times 1 space space space space space space space space space space space space space equals 25 4. left parenthesis x plus a right parenthesis left parenthesis x plus b right parenthesis equals x squared plus left parenthesis a plus b right parenthesis x plus a b F o r space E x a m p l e : left parenthesis 9 plus 2 right parenthesis left parenthesis 9 plus 3 right parenthesis equals 9 squared plus left parenthesis 2 plus 3 right parenthesis 9 plus 2 cross times 3 space space space space space space space space space space space space space space space space space space space equals 81 plus 45 plus 6 space space space space space space space space space space space space space space space space space space space equals 132

Answered by Prasenjit Paul | 9th Sep, 2014, 10:28: AM

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This video explains the concept of Algebraic Identities.

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Graphical and algebraic interpretation of (a+b)^2,(a-b)^2 and a^2-b^2

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