因式分解4(a-5)^2+4(a-5)+1

问题描述:

因式分解4(a-5)^2+4(a-5)+1

4(a-5)^2+4(a-5)+1
=4[(a-5)²+(a-5)+1/4]
=4[(a-5)+1/2 ]²
=2²[(a-5)+1/2 ]²
=(2a-9)²

4(a-5)^2+4(a-5)+1
=【2(a-5)】^2+4(a-5)+1²
=【2(a-5)+1】²
=(2a-9)²
有不明白的可以追问!谢谢!!
祝学习进步

答:
4(a-5)^2+4(a-5)+1
=[2(a-5)]²+2*2(a-5)+1²
=[2(a-5)+1]²
=(2a-10+1)²
=(2a-9)²