if g+ b. + k=12 & gb+bk+gk=22 find the g²+b²+k²
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Answer:
g²+b²+k²=44
Step-by-step explanation:
We have the identity,
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
Similarly,
(g+b+k)²=g²+b²+k²+2(gb+bk+gk)
g²+b²+k²=(g+b+k)²-2(gb+bk+gk)
= (12)²-2(22)
= 144-44
g²+b²+k²= 100
Cheers!
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