6. If a + b + c = 9 and ab + bc + ca = 26, then find a² + b3 + c2.
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Step-by-step explanation:
a+b+c=9
ab+bc+ca=26
(a+b+c)2=a2+b2+c2+2(ab+bc+ca)
81=a2+b2+c2+2(26)
81=a2+b2+c2++56
81-56=a2+b2+c2
25=a2+b2+c2
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