2ax-3bx+x-2a+3b-1

2ax-3bx+x-2a+3b-1
=(2ax-3bx+x)-(2a-3b+1)
=x(2a-3b+1)-(2a-3b+1)
=(2a-3b+1)(x-1)

2x²+9x-5
十字相乘法分解
x5
×
2x -1
2x²+9x-5
=(x+5)(2x-1)

3x²+5x+2
十字相乘法分解
x+1
×
3x +2
3x²+5x+2
=(x+1)(3x+2)

3x²+x-2
十字相乘法分解
x+1
×
3x-2
3x²+x-2
=(x+1)(3x-2)

2x²+13x+15
十字相乘法分解
x +5
×
2x +3
2x²+13x+15
=(x+5)(2x+3)

12x²-25x+12
十字相乘法分解
3x-4
×
4x-3
12x²-25x+12
=(3x-4)(4x-3)

3x²+x-10
十字相乘法分解
x+2
×
3x-5
3x²+x-10
=(x+2)(3x-5)

x²+6y-xy-6x
=(x²-6x)-(xy-6y)
=x(x-6)-y(x-6)
=(x-6)(x-y)

a²-2ab+b²-c²
=(a²-2ab+b²)-c²
=(a-b)²-c²
=[(a-b)+c][(a-b)-c]
=(a-b+c)(a-b-c)

1-x²-2xy-y²
=1-(x²+2xy+y²)
=1²-(x+y)²
=[1+(x+y)][1-(x+y)]
=(1+x+y)(1-x-y)

x²-9a²+12a-4
=x²-(9a²-12a+4)
=x²-(3a-2)²
=[x+(3a-2)][x-(3a-2)]
=(x+3a-2)(x-3a+2)