化简求值(a-3b)²+(3a+b)²-(3a-b)(3a+b),其中a=-8,b=-1
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化简求值(a-3b)²+(3a+b)²-(3a-b)(3a+b),其中a=-8,b=-1
化简求值(a-3b)²+(3a+b)²-(3a-b)(3a+b),其中a=-8,b=-1
化简求值(a-3b)²+(3a+b)²-(3a-b)(3a+b),其中a=-8,b=-1
解
原式
=a²-6ab+9b²+9a²+6ab+b²-(9a²-b²)
=(a²+9a²-9a²)+(-6ab+6ab)+(9b²+b²+b²)
=a²+11b²
=(-8)²+11×(-1)²
=64+11
=75
原式=a²-6ab+9b²+9a²+6ab+b²-9a²+b²
=a²+11b²
当a=-8,b=-1时
原式=64+11
=75