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CBSE Class 9 Answered

If a2 + b2 + c2  = 30 and a+b+c = 10, then find the value of ab+BC+CA?
Asked by Vikas | 23 Mar, 2017, 04:30: PM
answered-by-expert Expert Answer

begin mathsize 16px style straight a squared plus straight b squared plus straight c squared equals 30 space and space straight a plus straight b plus straight c equals 10 left parenthesis straight a plus straight b plus straight c right parenthesis squared equals straight a squared plus straight b squared plus straight c squared plus 2 ab plus 2 bc plus 2 ac rightwards double arrow left parenthesis 30 right parenthesis squared equals 30 plus 2 left parenthesis ab plus bc plus ac right parenthesis rightwards double arrow 900 equals 30 plus 2 left parenthesis ab plus bc plus ac right parenthesis rightwards double arrow 870 equals 2 left parenthesis ab plus bc plus ac right parenthesis rightwards double arrow 445 equals ab plus bc plus ac end style

Answered by | 23 Mar, 2017, 04:59: PM

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