(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca
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Answer:
i) For a=2,b=4,c=6 we have
(a+b+c)
2
=(12)
2
=144 and
a
2
+b
2
+c
2
+2ab+2bc+2ca
=4+16+36+16+48+24
=144
ii) For a=5,b=−2,c=3 we have
(a+b+c)
2
=(6)
2
=36 and
a
2
+b
2
+c
2
+2ab+2bc+2ca
=25+4+9−20−12+30
=36
iii) For a=−2,b=3,c=−4 we have
(a+b+c)
2
=(−3)
2
=9 and
a
2
+b
2
+c
2
+2ab+2bc+2ca
=4+9+16−12−24+16
=9
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