simplify (a+b+c)^2+(a-b+c)^2+(a+b-c)^2
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Answer:
The answer is 3(a²+b²+c²)+2(ab+bc+ac)
Step-by-step explanation:
(a+b+c)²+(a-b+c)²+(a+b-c)²
= a²+b²+c²+2ab+2bc+2ac+a²+(-b)²+c²-2ab-2bc+2ac+a²+b²+(-c)²+2ab-2bc-2ac
= 3(a²+b²+c²)+2(ab+bc+ac)
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