若(a²-2b)+ma²+(m-1)b的取值与a无关,求m²-4m+4的值
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![若(a²-2b)+ma²+(m-1)b的取值与a无关,求m²-4m+4的值](/uploads/image/z/14836494-30-4.jpg?t=%E8%8B%A5%28a%26%23178%3B-2b%29%2Bma%26%23178%3B%2B%28m-1%29b%E7%9A%84%E5%8F%96%E5%80%BC%E4%B8%8Ea%E6%97%A0%E5%85%B3%2C%E6%B1%82m%26%23178%3B-4m%2B4%E7%9A%84%E5%80%BC)
若(a²-2b)+ma²+(m-1)b的取值与a无关,求m²-4m+4的值
若(a²-2b)+ma²+(m-1)b的取值与a无关,求m²-4m+4的值
若(a²-2b)+ma²+(m-1)b的取值与a无关,求m²-4m+4的值
(a²-2b)+ma²+(m-1)b
=(m+1)a²+(m-3)b
∵与a无关
∴m+1=0
∴m=-1
∴m²-4m+4=1+4+4=9