這些怎麼算(給我算式加答案)

2012-09-29 4:18 pm
1.
(13x平方+8x+7)+(5x平方-x+1)
2.
(-3x平方+8x+7)+(5x平方-x+1)-(4x平方+x-11)
3.
(x平方+x) (7x-2)
4.
(4x平方-x3平方-5)除(x平方-2)
5.
(x+1) (x+2)-(x-1) (x+3)
6.
2001X2002-1999X2003

回答 (2)

2012-09-29 4:43 pm
✔ 最佳答案
1. (13x^2+8x+7)+(5x^2-x+1)
=18x^2+7x+8

2. (-3x^2+8x+7)+(5x^2-x+1)-(4x^2+x-11)
=(-3+5-4)x^2+(8-1-1)x+(7+1+11)
=-2x^2+6x+19

3. (x^2+x) (7x-2)
=7x^3--x^2+7x^2-2x
=7x^3+5x^2-2x

4. (4x^2-x^3-5)除(x^2-2)
Sol
         -x+4
       ─────────────
x2+0x-2)-x3+4x2+0x-5
       )-x3-0x2+2x
       )────────────
       )    4x2-2x-5
       )    4x2+0x-8
       )────────────
       )       -2x+3
(4x^2-x^3-5)除(x^2-2)=-x+4……..-2x+3

5. (x+1) (x+2)-(x-1) (x+3)
=(x^2+3x+2)-(x^2+2x-3)
=(1-1)x^2+(3-2)x+(2+3)
=x+5

6. 2001*2002-1999*2003
=(2000+1)*(2000+2)-(2000-1)*(2000+3)
=(2000^2+3*2000+2)-(2000^2+2*2000-3)
=(1-1)*2000^2+(3-2)*2000+(2+3)
=2005


2012-09-29 4:47 pm
1.
(13x平方+8x+7)+(5x平方-x+1)
=18x^2+7x+7
2.
(-3x平方+8x+7)+(5x平方-x+1)-(4x平方+x-11)
=-2x^2+6x+19
3.
(x平方+x) (7x-2)
=7x^3+5x^2-2x
5.
(x+1) (x+2)-(x-1) (x+3)
=x+5
6.
2001X2002-1999X2003
=(2000+1)(2000+2)-(2000-1)(2000+3)
=2000^2+3*2000+2-(2000^2+2*2000-3)
=2000+5
=2005


版主第四題請檢視應可約分



2012-09-29 08:50:45 補充:
筆誤更正
1.
(13x平方+8x+7)+(5x平方-x+1)
=18x^2+7x+8

2012-09-29 09:42:00 補充:
4.
用分離係數除
記得缺項要補0不論被除數或除數

(4x平方-x3平方-5)除以(x平方-2)

=(-x+4) 商------------ (-2x+3)餘式


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