1. (x+5)(x-3)=x²+2x-15
∴k=-2
2.x²-4x+m²=(x-2)²
∴ m=±24x²-20xy+25y²
3.a²b-ab²=ab(a-b)=35
4.m=1 或 4 或 9
5. 4x²-20xy+25y²=(2x)²-20x+(5y)²=(2x-5y)²
6.y²-x²+6x-9=y²-(x²-6x+9)=y²-(x-3)²=(y+x-3)(y-x+3)
7.(x-2)(x+3)+4
=x²+x-6+4=x²+x-2=(x+2)(x-1)
1. (x+5)(x-3)=x²+2x-15
∴k=-2
2.x²-4x+m²=(x-2)²
∴ m=±24x²-20xy+25y²
3.a²b-ab²=ab(a-b)=35
4.m=1 或 4 或 9
5. 4x²-20xy+25y²=(2x)²-20x+(5y)²=(2x-5y)²
6.y²-x²+6x-9=y²-(x²-6x+9)=y²-(x-3)²=(y+x-3)(y-x+3)
7.(x-2)(x+3)+4
=x²+x-6+4=x²+x-2=(x+2)(x-1)