a的2次方+b的2次方-2ab-2b+2a+1因式分解

问题描述:

a的2次方+b的2次方-2ab-2b+2a+1因式分解

a的2次方+b的2次方-2ab-2b+2a+1
=(a-b)²-2(a-b)+1
=(a-b-1)²

原式=(a²-2ab+b²)+(2a-2b)+1
=(a-b)²+2(a-b)+1
=(a-b+1)²