1.(2分)判断正误:分解因式:(x2-y2-z2)2-4y2z2＝(x+y-z)(x-y+z)(x+y+z)(x-y-z)()2.(2分)判断正误:分解因式:a2+b2-2ab-4＝(a-b-2)(a-b+2)()3.(2分)判断正误:分解因式:a4-3a2-4＝(a-2)(a+2)(a2+1)()4.(2分)判断正误:分解因式:a2+19a+60＝(a+15)(a+4)()5.(2分)判断正误:873-763是11的倍数()6.(2分)判断正误:分解因式:1-abcd+ac-bd＝(1+ac)(1+bd)()7.(3分)判断正误:-am-1+14am-49am+1＝-am-1(1-7a)2()8.(3分)判断正误:分解因式:2(a2-3mn)+a(4m-3n)＝(a+2m)(2a-3n)()9.(3分)判断正误:分解因式:am+3-amb3＝am(a-b)(a2+ab+b2)()10.(3分)选作题:判断正误分解因式:a3+2a2+3a+2＝(a+1)(a2+a+2)()11.(3分)判断正误:分解因式:a2-b2+m2-n2+2(am-bn)＝(a+m+b+n)(a+m-b-n)()12.(3分)判断正误:分解因式:x2(x+1)-y(xy+x)＝x(x-y)(x+y+1)()13.(3分)判断正误:分解因式:(x+1)4-2(x2-1)2+(x-1)4-(x2+3)2＝(x-3)(x-1)(x+3)(x+1)()二、单选题.(共34分)14.(2分)分解因式:(x-3)(3x-2)-7(x-3)的结果是[]A.3(x-3)(x-3)B.(x-3)(3x-9)C.3(x-3)2D.3(x-3)15.(2分)下列变形中,属于因式分解的是[]A.(a+b)(a-b)＝a2-b2B.x2-y2+4y-4＝(x+y)(x-y)+4(y-1)C.a3-b3＝(a-b)(a2+ab+b2)D.a2-10a+10＝a(a-10)+1016.(2分)分解因式:2x3+16等于[]A.(x+2)(x2-2x+4)B.2(x+2)(x2+2x+4)C.2(x+2)(x2-2x+4)D.2(x+2)(x2-2x-4)17.(2分)3x2-3y2等于[]A.(x-y)(x+y)B.3(x-y)(x+y)C.3(x-y)2D.3(x2-y2)18.(2分)xn-ym分解因式为(x-y)(x2+xy+y2),那么m、n的值是[]A.m＝3,n＝3B.m＝2,n＝2C.m＝3,n＝2D.m＝4,n＝419.(2分)a2-20a+100等于[]A.(a+10)2B.(a-1)2C.(a-10)D.(a-10)220.(2分)x2-4y2+x+2y等于[]A.(x+2y)(x-2y+1)B.(x-2y)(x-2y+1)C.(x+2y)(x+2y+1)D.(x+2y)(x-2y-1)22.(3分)10(y+2)2-29(y+2)+10为[]A.(2y-1)(5y+8)B.(2y+1)(5y+8)C.(y-2)(5y+8)D.(2y+1)(5y-8)23.(3分)分解因式:a6+a4-a2-1[]A.(a-1)3(a+1)3B.(a+1)2(a-1)2C.(a2+1)2(a+1)(a-1)D.(a2+1)2(a+1)24.(3分)将x2+2xy+y2+2x+2y-3因式分解等于[]A.(x+y-3)(x+y-1)B.(x-y+3)(x-y-1)C.(x+y+3)(x+y-1)D.(x+y+3)(x-y+1)25.(3分)分解因式:2x3n-12x2ny2+18xny4等于[]A.2xn(xn-3y2)2B.2xn(xn-3y2)C.xn(2xn-6y2)2D.2x(xn-3y2)226.(3分)选作题:将多项式16x8-1在有理数范围内分解因式,正确的结果是:[]A.(4x4+1)(4x4-1)B.(4x4+1)(2x2+1)(2x2-1)C.(2x2+1)2(2x2-1)2D.(2x2+2x+1)(2x2-2x+1)(2x2+1)(2x2-1)27.(3分)多项式am-1-am+2+am+am+1的公因式是:()A.amB.am-1C.am+1D.am+2三、填空题.(共16分)28.(2分)已知:a-b＝1,则a3-b3-3ab＝_______29.(2分)当x＝-1,a＝296,b＝-307,c＝2009时,x(a+b-3c)-(3c-a-b)的值是____.31.(2分)利用因式分解计算已知:x＝5.4,y＝4.6,则(x+y)(x2-xy+y2)+(x2-4y2)(x+y)的值是_______.32.(2分)利用因式分解计算:已知:x＝7.6,y＝-3.8,则3x2+2xy-8y2的值是_______.33.(2分)已知a-b-c＝-5,则a(a-b-c)+b(c-a+b)+c(b+c-a)的值是____________.34.(2分)已知o＜a≤5,且a为整数,若2x2+3x+a能用十字相乘法分解因式,则a的值是______________.35.(2分)已知:a+2b＝100,a-2b＝0.01,则5a2-20b2的值是_________.