20个因式分解的计算题六年级下册苏教版 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 1、因式分解xy＋6－2x－3y＝(x-3)(y-2) 2、因式分解x2(x－y)＋y2(y－x)＝(x+y)(x-y)^2 3、因式分解2x2－(a－2b)x－ab＝(2x-a)(x+b) 4、因式分解a4－9a2b2＝a^2(a+3b)(a-3b) 5、已知x3＋3x2－4含有x－1的因式,试分解x3＋3x2－4＝(x-1)(x+2)^2 6、因式分解ab(x2－y2)＋xy(a2－b2)＝(ay+bx)(ax-by) 7、因式分解(x＋y)(a－b－c)＋(x－y)(b＋c－a)＝2y(a-b-c) 8、因式分解a2－a－b2－b＝(a+b)(a-b-1) 9、因式分解9x4－35x2－4＝(9x^2+1)(x+2)(x-2) 本文来源：https://www.wddqw.com/doc/4fe5cae1d25abe23482fb4daa58da0116c171fcf.html