因式分解、、、

来源：百度知道 编辑：UC知道 时间：2024/06/06 09:31:27
16（3m-2n）²-25（m-n）²

（a-2b)²-8（a-2b）+16

4/9x²-2/3x+1/4

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16（3m-2n）²-25（m-n）²
=（12m-8n）²-（5m-5n）²
=[(12m-8n)+(5m-5n)][(12m-8n)-(5m-5n)]
=(17m-13n)(7m-3n)

（a-2b)²-8（a-2b）+16
=（a-2b)²-2*4*（a-2b）+4²
=[（a-2b)-4]²
=（a-2b-4)²

4/9x²-2/3x+1/4
=(2/3x)²-2*(1/2)*(2/3x)+(1/2)²
=(2/3x-1/2)²

1.=[4(3m-2n)]²-[5(m-n)]²
=(12m-8n+5m-5n)*(12m-8n-5m+5n)
=(17m-13n)*(7m-3n)

2.=（a-2b)²-2*4（a-2b）+4²
=(a-2b-4)²

3.=(2/3x)²-2*2/3*1/2+(1/2)²
=(2/3x-1/2)²