有冇人可以幫手做因式分解???HELP

2007-10-28 6:00 am
1)a-b+ac-bc
2)ax-ay-by+bx
3)pm-mn-4p-4n
4)4m-4n+mp-np
5)5b(2)+6cd+3bd+16ry
6)14rx-40sy+35sx+16ry
7)mh-mk+h(2)-hk
8)x(2)y+ax+bxy+ab
9)9x(3)-5x(2)-18x+10
10)4ab-6ab(2)-2+3b


*(2)=2次方
(3)=3次方

回答 (3)

2007-10-28 6:49 am
✔ 最佳答案
1) a-b+ac-bc
=(a-b)+c(a-b)
=(a-b)(c+1)

2) ax-ay-by+bx
=(ax-ay)+(bx-by)
=a(x-y)+b(x-y)
=(a+b)(x-y)

4) 4m-4n+mp-np
=4(m-n)+p(m-n)
=(4+p)(m-n)

5) 5b(2)+6cd+3bd+16ry

6) 14rx-40sy+35sx+16ry
=14rx-40sy+35sx-16ry+32ry
=(14rx+35sx)-(40sy+16ry)+32ry
=7x(2r+5s)-8y(5s+2r)+32ry
=(7x-8y)(2r+5s)+32ry

7) mh-mk+h(2)-hk
=m(h-k)+h(h-k)
=(m+h)(h-k)

8) x(2)y+ax+bxy+ab
=[x(2)y+bxy]+(ax+ab)
=xy(x+b)+a(x+b)
=(xy+a)(x+b)

9) 9x(3)-5x(2)-18x+10
=[9x(3)-5x(2)]-(18x-10)
=x(2)(9x-5)-2(9x-5)
=[x(2)-2](9x-5)

10) 4ab-6ab(2)-2+3b
=[4ab-6ab(2)]-(2-3b)
=2ab(2-3b)-(2-3b)
=(2ab-1)(2-3b)



有d我都唔係好肯定.....
anyway, hope幫到你啦*=]

2007-10-27 22:51:58 補充:
5) 5b(2) 6cd 3bd 16ry=(6cd 3bd) 5b(2) 16ry=3d(2c b) 5b(2) 16ry
2007-11-07 4:11 am
1. a-b+ac-bc
=a(1+c)-b(1+c)
=(a-b)(1+c)

2.ax-ay-by+bx
= a(x-y)+b(x-y)
= (a+b)(x-y)

3.pm-mn-4p-4n
= m(p-n)+4(p-n)
= (m+4)(p-n)

4.4m-4n+mp-np
= 4(m-n)+p(m-n)
= (4+p)(m-n)

6.14rx-40sy+35sx+16ry
= 2r(7x+8y)-5s(7x+8y)
= (2r-5s)(7x+8y)

7.mh-mk+h(2)-hk
= m(h-k)+h(h-k)
= (m+h)(h-k)

8. x(2)y+ax+bxy+ab
= xy(x+b)+a(x+b)
= (xy+a)(x+b)

9. 9x(3)-5x(2)-18x+10
= 9x(x^2-2)-5(x^2-2)
=(9x-5)(x^2-2)

10. 4ab-6ab(2)-2+3b
= 2ab(2-3b)-2+3b
= 2ab(2-3b+1)
參考: 自己
1.(a-b)(1+c)
2.(x-y)(a+b)
3.(p-n)(m-4)
4.(m-n)(4+p)
5.3d(2c+b)+5b(2)+16ry
6.(7x+8y)(2r+5s)
7.(m+h)(h-k)
8.(x+b)(xy+a)
9.(9x-5)(x(2)-2)
10.(2-3b)(1-2ab)


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