Question

初二因式分解习题10道难点的有答案

Answer 1

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