因式分解计算题20道,要过程,急求,
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以下应该卖或烂够用的了!!
1.(3a-b)2-4(3a-b)(a+3b)+4(a+3b)2=[3a-b-2(a+3b)]^2=(a-7b)^2
2.(a+3)2-6(a+3)=(a+3)(a-3)
3(x+1)2(x+2)-(x+1)(x+2)2=-(x+1)(x+2)
4.abc+ab-4a=a(bc+b-4)
5.16x2-81=(4x+9)(4x-9)
6.9x2-30x+25=(3x-5)^2
7.x2-7x-30=(x-10)(x+3)
8.x2-25=(x+5)(x-5)
9.x2-20x+100=(x-10)^2
10.x2+4x+3=(x+1)(x+3)
11.4x2-12x+5=(2x-1)(2x-5)
12.3ax2-6ax=3ax(x-2)
13.x(x+2)-x=x(x+1)
14.x2-4x-ax+4a=(x-4)(x-a)
15.25x2-49=(5x-9)(5x+9)
16.36x2-60x+25=(6x-5)^2
17.4x2+12x+9=(2x+3)^2
18.x2-9x+18=(x-3)(x-6)
19.2x2-5x-3=(x-3)(2x+1)
20.12x2-50x+8=2(6x-1)(x-4)
21.(x+2)(x-3)+(x+2)(x+4)=(x+2)(2x-1)
22.2ax2-3x+2ax-3= (x+1)(2ax-3)
23.9x2-66x+121=(3x-11)^2
24.8-2x2=2(2+x)(2-x)
25.x2-x+团首14 =整数内无法分解
26.9x2-30x+25=(3x-5)^2
27.-20x2+9x+20=(-4x+5)(5x+4)
28.12x2-29x+15=(4x-3)(3x-5)
29.36x2+39x+9=3(3x+1)(4x+3)
30.21x2-31x-22=(21x+11)(x-2)
31.9x4-35x2-4=(9x^2+1)(x+2)(x-2)
32.(2x+1)(x+1)+(2x+1)(x-3)=2(x-1)(2x+1)
33.2ax2-3x+2ax-3=(x+1)(2ax-3)
34.x(y+2)-x-y-1=(x-1)(y+1)
35.(x2-3x)+(x-3)2=中漏(x-3)(2x-3)
36.9x2-66x+121=(3x-11)^2
37.8-2x2=2(2-x)(2+x)
38.x4-1=(x-1)(x+1)(x^2+1)
39.x2+4x-xy-2y+4=(x+2)(x-y+2)
40.4x2-12x+5=(2x-1)(2x-5)
41.21x2-31x-22=(21x+11)(x-2)
42.3x2-6x=3x(x-2)
43.49x2-25=(7x+5)(7x-5)
44.6x2-13x+5=(2x-1)(3x-5)
45.x2+2-3x=(x-1)(x-2)
46.12x2-23x-24=(3x-8)(4x+3)
47.(x+6)(x-6)-(x-6)=(x-6)(x+5)
48.3(x+2)(x-5)-(x+2)(x-3)=2(x-6)(x+2)
49.9x2+42x+49=(3x+7)^2 。
还有这; http://wenku.baidu.com/view/e9929a3d5727a5e9856a61e4.html
十字相乘法看这 http://baike.baidu.com/view/198055.htm
希望对你有帮助,不懂还可问,满意请及时采纳!祝你学习进步!o(∩_∩)o
1.(3a-b)2-4(3a-b)(a+3b)+4(a+3b)2=[3a-b-2(a+3b)]^2=(a-7b)^2
2.(a+3)2-6(a+3)=(a+3)(a-3)
3(x+1)2(x+2)-(x+1)(x+2)2=-(x+1)(x+2)
4.abc+ab-4a=a(bc+b-4)
5.16x2-81=(4x+9)(4x-9)
6.9x2-30x+25=(3x-5)^2
7.x2-7x-30=(x-10)(x+3)
8.x2-25=(x+5)(x-5)
9.x2-20x+100=(x-10)^2
10.x2+4x+3=(x+1)(x+3)
11.4x2-12x+5=(2x-1)(2x-5)
12.3ax2-6ax=3ax(x-2)
13.x(x+2)-x=x(x+1)
14.x2-4x-ax+4a=(x-4)(x-a)
15.25x2-49=(5x-9)(5x+9)
16.36x2-60x+25=(6x-5)^2
17.4x2+12x+9=(2x+3)^2
18.x2-9x+18=(x-3)(x-6)
19.2x2-5x-3=(x-3)(2x+1)
20.12x2-50x+8=2(6x-1)(x-4)
21.(x+2)(x-3)+(x+2)(x+4)=(x+2)(2x-1)
22.2ax2-3x+2ax-3= (x+1)(2ax-3)
23.9x2-66x+121=(3x-11)^2
24.8-2x2=2(2+x)(2-x)
25.x2-x+团首14 =整数内无法分解
26.9x2-30x+25=(3x-5)^2
27.-20x2+9x+20=(-4x+5)(5x+4)
28.12x2-29x+15=(4x-3)(3x-5)
29.36x2+39x+9=3(3x+1)(4x+3)
30.21x2-31x-22=(21x+11)(x-2)
31.9x4-35x2-4=(9x^2+1)(x+2)(x-2)
32.(2x+1)(x+1)+(2x+1)(x-3)=2(x-1)(2x+1)
33.2ax2-3x+2ax-3=(x+1)(2ax-3)
34.x(y+2)-x-y-1=(x-1)(y+1)
35.(x2-3x)+(x-3)2=中漏(x-3)(2x-3)
36.9x2-66x+121=(3x-11)^2
37.8-2x2=2(2-x)(2+x)
38.x4-1=(x-1)(x+1)(x^2+1)
39.x2+4x-xy-2y+4=(x+2)(x-y+2)
40.4x2-12x+5=(2x-1)(2x-5)
41.21x2-31x-22=(21x+11)(x-2)
42.3x2-6x=3x(x-2)
43.49x2-25=(7x+5)(7x-5)
44.6x2-13x+5=(2x-1)(3x-5)
45.x2+2-3x=(x-1)(x-2)
46.12x2-23x-24=(3x-8)(4x+3)
47.(x+6)(x-6)-(x-6)=(x-6)(x+5)
48.3(x+2)(x-5)-(x+2)(x-3)=2(x-6)(x+2)
49.9x2+42x+49=(3x+7)^2 。
还有这; http://wenku.baidu.com/view/e9929a3d5727a5e9856a61e4.html
十字相乘法看这 http://baike.baidu.com/view/198055.htm
希望对你有帮助,不懂还可问,满意请及时采纳!祝你学习进步!o(∩_∩)o
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1(x-y)(a-2b+3c)-3(x-y)(2b-a-3c)
=2(x-y)(a-2b+3c)+3(x-y)(a-2b+3c)
=5(x-y)(a-2b+3c)
2.x(a+b-c)-y(-a-b+c)-b+c-a
=x(a+b-c)+y(a+b-c)-(a+b-c)
=(a+b-c)(x+y-1)
3.121(a-b)²-169(a+b)²
=[11(a-b)-13(a+b)][11(a-b)+13(a+b)]
=(11a-11b-13a-13b)(11a-11b+13a+13b)
=(-2a-24b)(24a+2b)
=-4(a+12b)(12a+b)
4.(x+1)^4-2(x+1)^2+1
=[(x+1)^2]^4-2(x+1)^2+1
={(x+1)^2-1]^2
=(x^2+2x+1-1)^2
=(x^2+2x)^2
=x^2(x+2)^2
5.x^2-3x+2=0
(x-1)(x-2)=0
x=1 或 x=2
6.x^2+2x-15=(x+5)(x-3)
7.y^2+4y-5=(y-1)(y+5)
8.m^2-6m+8=(m-2)(m-4)
9.p^2-5p-36=(p-9)(p+4)
10.-x^2+2x+8=-(x-4)(x+2)
11.(x-y)^2-3(x-y)+2=(x-y-1)(x-y-2)
12.0.49x^2-0.04y^2=(0.7x+0.2y)(0.7x-0.2y)
13.-4a^2b^2+4ab-1=-(2ab-1)^2
14.-3a^3x+12ax^3=-3ax(a+x)(a-x)
15.m^3n-2m^2n^2+mn^3=mn(m-n)^2
16.(4x^2-25y^2)÷(2x-5y)=(2x+5y)(2x-5y)÷(2x-5y)=2x+5y
17.(2x^2-2x+1/2)÷(x-1/2)=(1/2)(2x-1)^2÷[(1/2)(2x-1)]=2x-1
18.x^3-2x^2-3x=x(x-3)(x+1)
19.(x-1)(x-2)-6=x^2-3x-4=(x-4)(x+1)
20.64-16a+a^2=(a-8)^2
=2(x-y)(a-2b+3c)+3(x-y)(a-2b+3c)
=5(x-y)(a-2b+3c)
2.x(a+b-c)-y(-a-b+c)-b+c-a
=x(a+b-c)+y(a+b-c)-(a+b-c)
=(a+b-c)(x+y-1)
3.121(a-b)²-169(a+b)²
=[11(a-b)-13(a+b)][11(a-b)+13(a+b)]
=(11a-11b-13a-13b)(11a-11b+13a+13b)
=(-2a-24b)(24a+2b)
=-4(a+12b)(12a+b)
4.(x+1)^4-2(x+1)^2+1
=[(x+1)^2]^4-2(x+1)^2+1
={(x+1)^2-1]^2
=(x^2+2x+1-1)^2
=(x^2+2x)^2
=x^2(x+2)^2
5.x^2-3x+2=0
(x-1)(x-2)=0
x=1 或 x=2
6.x^2+2x-15=(x+5)(x-3)
7.y^2+4y-5=(y-1)(y+5)
8.m^2-6m+8=(m-2)(m-4)
9.p^2-5p-36=(p-9)(p+4)
10.-x^2+2x+8=-(x-4)(x+2)
11.(x-y)^2-3(x-y)+2=(x-y-1)(x-y-2)
12.0.49x^2-0.04y^2=(0.7x+0.2y)(0.7x-0.2y)
13.-4a^2b^2+4ab-1=-(2ab-1)^2
14.-3a^3x+12ax^3=-3ax(a+x)(a-x)
15.m^3n-2m^2n^2+mn^3=mn(m-n)^2
16.(4x^2-25y^2)÷(2x-5y)=(2x+5y)(2x-5y)÷(2x-5y)=2x+5y
17.(2x^2-2x+1/2)÷(x-1/2)=(1/2)(2x-1)^2÷[(1/2)(2x-1)]=2x-1
18.x^3-2x^2-3x=x(x-3)(x+1)
19.(x-1)(x-2)-6=x^2-3x-4=(x-4)(x+1)
20.64-16a+a^2=(a-8)^2
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