(2a-b+1)*(2a-b-1)-(a+2b)*(a-b),其中a,b满足(a+b-3)的绝对值+(ab+2)^2=0
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![(2a-b+1)*(2a-b-1)-(a+2b)*(a-b),其中a,b满足(a+b-3)的绝对值+(ab+2)^2=0](/uploads/image/z/2527729-25-9.jpg?t=%282a-b%2B1%29%2A%282a-b-1%29-%28a%2B2b%29%2A%28a-b%29%2C%E5%85%B6%E4%B8%ADa%2Cb%E6%BB%A1%E8%B6%B3%28a%2Bb-3%29%E7%9A%84%E7%BB%9D%E5%AF%B9%E5%80%BC%2B%28ab%2B2%29%5E2%3D0)
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(2a-b+1)*(2a-b-1)-(a+2b)*(a-b),其中a,b满足(a+b-3)的绝对值+(ab+2)^2=0
(2a-b+1)*(2a-b-1)-(a+2b)*(a-b),其中a,b满足(a+b-3)的绝对值+(ab+2)^2=0
(2a-b+1)*(2a-b-1)-(a+2b)*(a-b),其中a,b满足(a+b-3)的绝对值+(ab+2)^2=0
化简:
(2a-b+1)*(2a-b-1)-(a+2b)*(a-b)
=(2a-b)²-1-(a²-ab+2ab-2b²)
=4a²+b²-4ab-1-a²-ab+2b²
=3a²+3b²-5ab-1
又∵a,b满足(a+b-3)的绝对值+(ab+2)^2=0
(a+b-3)的绝对值≥0 (ab+2)^2≥0
∴(a+b-3)=0 (ab+2)=0
a+b=3,ab=-2
a²+b²=(a+b)²-2ab=9-(-4)=13
∴原式=3×13-5×(-2)-1=48