问题标题:
20道简单的因式分解数学题
问题描述:

20道简单的因式分解数学题

李伏京回答:
  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+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=(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.
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