因式分解(1)(x-2)(x-4)+1(2)ax²-2a²x+a³(3)a²-2ab+b²-1

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因式分解(1)(x-2)(x-4)+1(2)ax²-2a²x+a³(3)a²-2ab+b²-1因式分解(1)(x-2)(x-4)+1(2)ax

因式分解(1)(x-2)(x-4)+1(2)ax²-2a²x+a³(3)a²-2ab+b²-1
因式分解(1)(x-2)(x-4)+1(2)ax²-2a²x+a³(3)a²-2ab+b²-1

因式分解(1)(x-2)(x-4)+1(2)ax²-2a²x+a³(3)a²-2ab+b²-1

(x-2)(x-4)+1
=x²-6x+8+1
=x²-6x+9
=(x-3)²
ax²-2a²x+a³
=a(x²-2ax+a²)
=a(x-a)²
a²-2ab+b²-1
=(a-b)²-1
=(a-b+1)(a-b-1)