因式分解６條（１０分）

1) 9x^2+6x+1
=(3x)^2 + 2(3x) + 1^2
=(3x + 1)^2

2) 4-4x-3x^2
=4 + 4x + x ^2 - x^2 - 3x^2
=(2)^2 + 2(2)(x) + (x)^2 - 4x^2
=(2 + x)^2 - (2x)^2
=(2 + x + 2x)(2 + x - 2x)
=(2 + 3x)(2 - x)

3) x^2y^2-7xy+6
=x^2y^2 - xy - 6xy + 6
=(xy)(xy - 1) - 6(xy - 1)
=(xy - 6)(xy - 1)

4) 13xy-4x^2y^2-3
=xy - 4x^2y^2 + 12xy - 3
=(xy)(1 - 4xy) - 3(1 - 4xy)
= (xy - 3)(1 - 4xy)

5) x^2-9xy+18y^2
=x^2 - 3xy - 6xy + 18y^2
=(x)(x - 3y) - (6y)(x - 3y)
=(x - 6y)(x - 3y)

6) 6x^2+17xy-10y^2
= 6x^2 - 3xy + 3xy + 17xy - 10y^2
= (3x)(2x - y) + (10y)(2x - y)
= (3x + 10y)(2x - y)

1.9x²+6x+1
=(3x+1) (3x+1)
=(3x+1)²

2. 4-4x-3x²
=(2+x)(2-3x)

3. x²y²-7xy+6
=(xy-1)(xy-7)

4. 13xy-4x²y²-3
=4x²y²+12xy-3
=(4xy-1)(-xy+3)
=(4xy-1)(3-xy)

5. x²-9xy+18y²
=(x-6y)(x-3y)
6. 6x²+17xy-10y²
=(2x-y)(3x+10y)

1. 9x²+6x+1
= (3x)² + 2(3x) + 1
= (3x + 1)²

2. 4-4x-3x²
= (2 + x)(2 - 3x)

3. x²y²-7xy+6
= (xy)² - 7xy + 6
= (xy -1)(xy - 6)

4.13xy-4x²y²-3
=-4(xy)² +13xy - 3
= (xy - 3)(-4xy + 1)

5. x²-9xy+18y²
= (x - 6y)(x - 3y)

6. 6x²+17xy-10y²
= (3x + 10y)(2x - y)

呢 D 冇話詳細列式喎... 只係要搵到唔同 factor 配搭計出中間果個 term...
寫落草稿果邊...