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

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