If a2+b2+c2=41 and a+b+c = 9 find ab+bc+ca
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(a+b+c)^2 = a^2 + b^2 + c^2 + 2 ( ab + bc + ca )
consider ab + bc + ca = x
9 ^2 = 41 + 2 (x )
81 = 41 + 2x
81 - 41 = 2x
40 = 2x
x = 20
therefore ab+bc+ca = 20
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