因式分解(a-2b)²-16a²(a-2b)²-16a²a²(x-y)+16(y-x)

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因式分解(a-2b)²-16a²(a-2b)²-16a²a²(x-y)+16(y-x)因式分解(a-2b)²-16a²(a-2b)

因式分解(a-2b)²-16a²(a-2b)²-16a²a²(x-y)+16(y-x)
因式分解(a-2b)²-16a²
(a-2b)²-16a²
a²(x-y)+16(y-x)

因式分解(a-2b)²-16a²(a-2b)²-16a²a²(x-y)+16(y-x)
第一条式子:=(a-2b)²-(4a)²=-[(5a+2b)(5a-2b)]=-(25a²-4b²)
第二条式子:=a²(x-y)-16(x-y)=(a²-16)(x-y)=(a-4)(a+4)(x-y)

(a-2b)²-16a²=【(a-2b)+4a】【(a-2b)-4a】
a²(x-y)+16(y-x)=a²(x-y)-16(x-y)=(a²-16)(x-y)=(a+4)(a-4)(x-y)