[15] Factorization

1) 4xy-3y+4xy
=4xy-4xz-3y+3z
=4x(y-z)-3(y-z)
=(4x-3)(y-z)

2) 4ax+6ay-4bx-6by
=4ax-4bx+6ay-6by
=4x(a-b)+6y(a-b)
=(4x+6y)(a-b)

3) 15bx-3b+5ax-a
=3b(5x-1)+a(5x-1)
=(3b+a)(5x-1)

4) 4x-8ax+10ay-5y
=4x(1-2a)-5y(-2a+1)
=4x(1-2a)-5y(1-2a)
=(4x-5y)(1-2a)

5) 6mb-4ma-6na+9nb
=2m(3b-2a)+3n(-2a+3b)
=2m(3b-2a)+3n(3b-2a)
=(2m+3n)(3b-2a)

6) xyp-xyq+3p-3q
=xy(p-q)+3(p-q)
=(xy+3)(p-q)

7) x^2 - x + 3x - 3
=x(x-1)+3(x-1)
=(x+3)(x-1)

8) uv - u - v^2 + v
=u(v-1)-v(u-1)
=(u-v)(v-1)

9) x^2 - 2c - 2x + cx
=2c-2x+x^2-cx
=2(c-x)-x(-x+c)
=2(c-x)-x(c-x)
=(2-x)(c-x)

10) m^2 + mp - 3mr - 3pr
=m(m+p)-3r(m+p)
=(m-3r)(m+p)
有問題可以問返我嫁!!!!!!!=]

1. 4xy-3y+3z-4xz
=y(4x-3)+z(3-4x)
=y(4x-3)-z(4x-3)
=(y-z)(4x-3)
2. 4ax+6ay-4bx-6by
=2a(2x+3y)-2b(2x+3y)
=(2a-2b)(2x+3y)
3. 15bx-3b+5ax-a
=3b(5x-1)+a(5x-1)
=(3b+a)(5x-1)
4. 4x-8ax+10ay-5y
=4x(1-2a)-5y(1-2a)
=(4x-5y)(1-2a)

5. 6mb-4ma-6na+9nb
=2m(3b-2a)+3n(3b-2a)
=(2m+3n)(3b-2a)

6. xyp-xyq+3p-3q
= xy(p-q)+3(p-q)
= (xy+3)(p-q)

7. x^2 - x + 3x - 3
= x(x-1)+3(x-1)
=(x+3)(x-1)

8. uv - u - v^2 + v
= u(v-1)-v(v-1)
=(u-v)(v-1)

9. x^2 - 2c - 2x + cx
= x^2-2x+cx-2x
= x(x-2)+x(c-2)
=2x(x-2)

10. m^2 + mp - 3mr - 3pr
= m(m+p)-3r(m+p)
= (m-3r)(m+p)

1. 4xy-3y+3z-4xz
= 4xy-4xz-3y+3z
= 4x(y-z)-3(y-z)
= (4x-3)(y-z)

2. 4ax+6ay-4bx-6by
= 4ax-4bx+6ay-6by
= 4x(a-b)+6y(a-b)
= (4x+6y)(a-b)

3. 15bx-3b+5ax-a
= 3b(5x-1)+a(5x-1)
= (3b+a)(5x-1)

4. 4x-8ax+10ay-5y
= 4x(1-2a)+5y(2a-1)
= 4x(1-2a)-5y(1-2a)
= (4x-5y)(1-2a)

5. 6mb-4ma-6na+9nb
= 2m(3b-2a)-3n(2a+3b)
= 2m(3b-2a)+3n(3b-2a)
= (2m+3n)(3b-2a)

6. xyp-xyq+3p-3q
= xy(p-q)+3(p-q)
= (xy+3)(p-q)

7. x^2-x+3x-3
= x^2+2x-3 or x(x-1)+3(x-1) 兩個方法做出黎都岩!!
= (x-1)(x+3)

8.uv-u-v^2+v
= u(v-1)-v(v-1)
= (u-v)(v-1)

9. x^2-2c-2x+cx
= x^2-2x-2c+cx
= x(x-2)-c(2+x)
= x(x-2)+c(x-2)
= (x+c)(x-2)

10. m^2+mp-3mr-3pr
= m(m+p)-3r(m+p)
= (m-3r)(m+p)

Tips 1 排番好佢，再抽佢出黎
Tips 2 注意 + - 號!!

1. 4xy-3y+3z-4xz
=4x(y-z)-3(y-z)
=(4x-3)(y-z)

2. 4ax+6ay-4bx-6by
=4x(a-b)+6y(a-b)
=(4x+6y)(a-b)

3. 15bx-3b+5ax-a
=3b(5x-1)+a(5x-1)
=(3b+a)(5x-1)

4. 4x-8ax+10ay-5y
=4x(1-2a)+5y(2a-1)
=4x(1-2a)-5y(1-2a)
=(4x-5y)(1-2a)

5. 6mb-4ma-6na+9nb
=2m(3b-2a)-3n(2a-3b)
=2m(3b-2a)+3n(3b-2a)
=(2m+3n)(3b-2a)

6. xyp-xyq+3p-3q
=xy(p-q)+3(p-q)
=(xy+3)(p-q)

7. x^2 - x + 3x - 3
=x(x-1)+3(x-1)
=(x+3)(x-1)

8. uv - u - v^2 + v
=u(v-1)-v(v-1)
=(u-v)(v-1)

9. x^2 - 2c - 2x + cx
=x(x-2)-c(2-x)
=x(x-2)+c(x-2)
=(x+c)(x-2)

10. m^2 + mp - 3mr - 3pr
=m(m+p)-3r(m+p)
=(m-3r)(m+p)