高一分解因式(能做多少算多少）

1.X∧2-(a+b)XY+abY∧2
=(x-ay)(x-by)

2.X∧2+2X-1
=(x^2+2x+1)-2
=(x+1)^2-2
=(x+1-√2)(x+1+√2)

3.X∧2+4XY-5Y∧2
=(x+5y)(x-y)

4.x∧2-5x+3
=x^2-5x+25/4-25/4+3
=(x-5/2)^2-13/4
=(x-5/2-√13/2)(x-5/2+√13/2)

5.x∧2-2√2x-3
=x^2-2√2x+2-5
=(x-√2)^2-5
=(x-√2-√5)(x-√2+√5)

6.x∧3+9+3x∧2+3x
=(x^3+3x^2)+(3x+9)
=x^2(x+3)+3(x+3)
=(x+3)(x^2+3)

7.2x∧2+xy-y∧2-4x+5y-6
=(2x-y)(x+y)-4x+5y-6
=(2x-y)(x+y)+(2x+2y)-6x+3y-6
=(2x-y)(x+y)+2(x+y)-6x+3y-6
=(x+y)(2x-y+2)-3(2x-y+2)
=(x+y-3)(2x-y+2)

8.a∧3+1
=(a+1)(a^2-a+1)

9.4x∧4-13x∧2+9
=(4x^2-9)(x^2-1)
=(2x+3)(2x-3)(x+1)(x-1)