已知a等于根号三加根号二的和分之一b等于根号三减根号二的差分之一,求a的平方减4ab加b的平方的值

2025-03-16 23:52:22
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回答1:

a=1/(√3+√2) b=1/(√3-√2) a�0�5-4ab+b�0�5=a�0�5-2ab+b�0�5-2ab=(a-b)�0�5-2ab =【1/(√3+√2)-1/(√3-√2)】�0�5-2x1/(√3+√2)x1/(√3-√2) ={【(√3-√2)-(√3+√2)】/(√3+√2)x(√3-√2)}�0�5-2/(3-2) ={-2√2/(3-2)}�0�5-2 =8-2=6