a2+ab+b2=25
{b^2+bc+c^2=49}b2+bc+c2=49
{c^2+ca+a^2=64}c2+ca+a2=64
Then, find the value of
(a+b+c)²-100 = ????
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Answered by
2
Answer:
Formula,
(a+b+c)
2
=a
2
+b
2
+c
2
+2ab+2bc+2ca
⇒(a+b+c)
2
=a
2
+b
2
+c
2
+2(ab+bc+ca)
Given,
ab+bc+ca=10,a
2
+b
2
+c
2
=16
⇒(a+b+c)
2
=16+2(10)
a+b+c=
16+20
=6
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