simplify (a+b+c)²+(a-b-c)².
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Answer:
2(a²+b²+c²+2bc)
Step-by-step explanation:
- (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
- (a-b-c)²=a²+b²+c²-2ab+2bc+2ac
so, (a+b+c)²+(a-b-c)²
a² + b² + c² + 2ab + 2bc + 2ca + a²+b²+c²-2ab+2bc-2ac
a²+a²+b²+b²+c²+c²+2ab-2ab+2bc+2bc+2ac-2ac
2a²+2b²+2c²+4bc
2(a²+b²+c²+2bc)
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