用乘法公式分解因式

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收藏|2020/03/23 07:11

满意回答

2020/03/23 07:21

解:1.16a²-9b²=(4a)²-(3b)²=(4a+3b)(4a-3b)2.-(1/4)a²b²+c²=c²-[(1/2)ab]²=(c+1/2ab)(c-1/2ab)3.0.01s²-t²=(0.1s)²-t²=(0.1s+t)(0.1s-t)4.(2n+1)²-(2n-1)²=(2n+1+2n-1)(2n+1-2n+1)=4n×2=8n5.999²-998²=(999+998)(999-998)=1997-1=19965.81.5²-78.5²=(81.5+78.5)(81.5-78.5)=160×3-480

尧山__1957_08

其他回答(2)
  • 1. 16a²-9b²=(4a)²-(3b)²=(4a+3b)(4a-3b)2. -1/4a²b²+c²=-【(1/2ab)²-c²】=-(1/2ab+c)(1/2ab-c)3. 0.01s²-t²=(0.1s)²-t²=(0.1s+t)(0.1s-t)4. (2n+1)²-(2n-1)²=(2n+1+2n-1)(2n+1-2n+1)=4n*2=8n5. 999²-998²=(999+998)(999-998)=1997*1=19976. 81.5²-78.5²=(81.5+78.5)(81.5-78.5)=160*3=480
    回答于 2020/03/23 08:01
  • 1、16a²-9b²=(4a)²-(3b)²=(4a+3b)(4a-3b)2、-¼a²b²+c²=c²-(½ab)²=(c+½ab)(c-½ab)3、0.01s²-t²=(0.1s)²-t²=(0.1s+t)(0.1s-t)4、(2n+1)²-(2n-1)²=[(2n+1)+(2n-1)][(2n+1)-(2n-1)]=4n·2=8n5、999²-998²=(999+998)(999-998)=19976、81.5²-78.5²=(81.5+78.5)(81.5-78.5)=160×3=480
    回答于 2020/03/23 07:46
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