求数学初二因式分解计算题20题附答案
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1.m2(p-q)-p+q;
2.a(ab+bc+ac)-abc;
3.x4-2y4-2x3y+xy3;
4.abc(a2+b2+c2)-a3bc+2ab2c2;
5.a2(b-c)+b2(c-a)+c2(a-b);
6.(x2-2x)2+2x(x-2)+1;
7.(x-y)2+12(y-x)z+36z2;
8.x2-4ax+8ab-4b2;
9.(ax+by)2+(ay-bx)2+2(ax+by)(ay-bx);
10.(1-a2)(1-b2)-(a2-1)2(b2-1)2;
11.(x+1)2-9(x-1)2;
12.4a2b2-(a2+b2-c2)2;
13.ab2-ac2+4ac-4a;
14.x3n+y3n;
15.(x+y)3+125;
16.(3m-2n)3+(3m+2n)3;
17.x6(x2-y2)+y6(y2-x2);
18.8(x+y)3+1;
19.(a+b+c)3-a3-b3-c3;
答案
1.(p-q)(m-1)(m+1).
8.(x-2b)(x-4a+2b).
11.4(2x-1)(2-x).
20.(x+3y)(x+y).
21.(x-6)(x+24).
2.a(ab+bc+ac)-abc;
3.x4-2y4-2x3y+xy3;
4.abc(a2+b2+c2)-a3bc+2ab2c2;
5.a2(b-c)+b2(c-a)+c2(a-b);
6.(x2-2x)2+2x(x-2)+1;
7.(x-y)2+12(y-x)z+36z2;
8.x2-4ax+8ab-4b2;
9.(ax+by)2+(ay-bx)2+2(ax+by)(ay-bx);
10.(1-a2)(1-b2)-(a2-1)2(b2-1)2;
11.(x+1)2-9(x-1)2;
12.4a2b2-(a2+b2-c2)2;
13.ab2-ac2+4ac-4a;
14.x3n+y3n;
15.(x+y)3+125;
16.(3m-2n)3+(3m+2n)3;
17.x6(x2-y2)+y6(y2-x2);
18.8(x+y)3+1;
19.(a+b+c)3-a3-b3-c3;
答案
1.(p-q)(m-1)(m+1).
8.(x-2b)(x-4a+2b).
11.4(2x-1)(2-x).
20.(x+3y)(x+y).
21.(x-6)(x+24).
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