初二因式分解习题10道难点的有答案

2个回答

  • 1.(2a-b)²+8ab

    2.y²-2y-x²+1

    3.x²-xy+yz-xz

    4.6x²+5x-4

    5.2a²-7ab+6b²

    6.(x²-2x)²+2(x²-2x)+1

    7.(x²-2x)²-14(x²-2x)-15

    8.x²(x-y)+(y-x)

    9.169(a+b)²-121(a-b)²

    10.(x-3)(x-5)+1

    答案:1.(2a-b)²+8ab=(2a+b)²

    2.y²-2y-x²+1=(y-1)²-x²=(y-1-x)(y-1+x)

    3.x²-xy+yz-xz =x(x-y)-z(x-y)=(x-z)(x-y)

    4.6x²+5x-4 =(2x-1)(3x+4)

    5.2a²-7ab+6b²=(2a-3b)(a-2b)

    6.(x²-2x)²+2(x²-2x)+1 =(x²-2x+1)²=(x-1)^4

    7.(x²-2x)²-14(x²-2x)-15 =(x²-2x-15)(x²-2x+1)=(x+3)(x-5)(x-1)²

    8.x²(x-y)+(y-x) =(x²-1)(x-y)=(x+1)(x-1)(x-y)

    9.169(a+b)²-121(a-b)²

    =(14a+14b-11a+11b)(14a+14b+11a-11b)

    =(3a+25b)(25a+3b)

    10.(x-3)(x-5)+1 =(x-3)²-2(x-3)+1 =(x-3-1)²=(x-4)²