原式 (a-b)(a-2b)-(3a-2b)(a-3b),
=a²-2ab-ab+2b²-(3a²-9ab-2ab+6b²)
=a²-3ab+2b²-3a²+11ab-6b²
=﹣2a²+8ab-4b²
=﹣2(a²-4ab+4b²)+4b²
=﹣2(a-2b)²+4b²
再将a=4,b=-1代入,有
原式 =﹣2(a-2b)²+4b²
=﹣2(4+2)²+4(﹣1)²
=﹣72+4
=﹣68
原式 (a-b)(a-2b)-(3a-2b)(a-3b),
=a²-2ab-ab+2b²-(3a²-9ab-2ab+6b²)
=a²-3ab+2b²-3a²+11ab-6b²
=﹣2a²+8ab-4b²
=﹣2(a²-4ab+4b²)+4b²
=﹣2(a-2b)²+4b²
再将a=4,b=-1代入,有
原式 =﹣2(a-2b)²+4b²
=﹣2(4+2)²+4(﹣1)²
=﹣72+4
=﹣68