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Question

if a +b +c=12 and a rase to power two + b rase to power 2 +c rase to power 2 =6, find the value of ab + bc +ca

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Solution

a + b + c =12

squaring on both side, we get

a^2 + b^2 + c^2 + 2 ( ab + bc + ac) = 144

6+ 2 ( ab + bc + ac) = 144

2 ( ab + bc + ac) = 138

ab + bc + ac = 69 ans..

HOPE U GET IT !!!!


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