分解因式:(a²+1)²-4(a²+1)+4
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 10:57:25
![分解因式:(a²+1)²-4(a²+1)+4](/uploads/image/z/14966518-22-8.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9A%EF%BC%88a%26%23178%3B%2B1%EF%BC%89%26%23178%3B-4%EF%BC%88a%26%23178%3B%2B1%EF%BC%89%2B4)
分解因式:(a²+1)²-4(a²+1)+4
分解因式:(a²+1)²-4(a²+1)+4
分解因式:(a²+1)²-4(a²+1)+4
(a²+1)²-4(a²+1)+4
=[(a²+1)-2]²
=(a²-1)²
=(a+1)²(a-1)²
如果不懂,祝学习愉快!
答:
(a²+1)²-4(a²+1)+4
=(a²+1)²-2*2(a²+1)+2²
=(a²+1-2)²
=(a²-1)²
=(a-1)²(a+1)²
a*a+1*a+1*1-4a
=[(a²+1)-2]²
=(a²-1)²
=(a+1)²(a-1)²