因式分解4(a-5)^2+4(a-5)+1

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因式分解4(a-5)^2+4(a-5)+1因式分解4(a-5)^2+4(a-5)+1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*

因式分解4(a-5)^2+4(a-5)+1
因式分解4(a-5)^2+4(a-5)+1

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

4(a-5)^2+4(a-5)+1
=【2(a-5)】^2+4(a-5)+1²
=【2(a-5)+1】²
=(2a-9)²
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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