已知实数a、b满足a(a+1)-(a눀+2ab)=1,求a눀-4ab+4b눀-2a+4b的值

2024-12-28 15:00:21
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回答1:

实数a、b满足a(a+1)-(a²+2b)=1,

a-2b=1
a²-4ab+4b²-2a+4b

=(a-2b)²-2(a-2b)
=(a-2b)(a-2b-2)
=1×(1-2)
=-1