F.2 mathz (Factorize the following expression)

1)(a+b)^2-2(a+b)
=(a+b)(a+b-2)
2)px+py-qx-qy
=(x+y)(p-q)
3)3x+2y-12xz-8yz
=(3x+2y)(1-4z)
4)xy-4y-5x+20
=y(x-4)-5(x-4)
=(x-4)(y-5)
5)a^2-ab+ac-bc
=(a-b)(a+c)
6)ab-a-pb+p
=(a-p)(b-1)
7)(a+b)p-2a-2b
=(a+b)(p-2)
8)p(a-b)-q(b-a)
=(a-b)(p+q)

1)(a+b)^2-2(a+b)
= (a+b)(a+b-2)

2)px+py-qx-qy
= p(x+y) - q(x+y)
= (x+y)(p-q)

3)3x+2y-12xz-8yz
= 3x -12xz +2y-8yz
= 3x(1-4z) + 2y(1-4z)
= (3x + 2y)(1-4z)

4)xy-4y-5x+20
= y(x-4) - 5(x-4)
= (y-5)(x-4)

5)a^2-ab+ac-bc
= a(a-b) + c(a-b)
= (a+c)(a-b)

6)ab-a-pb+p
= a(b-1) - p(b-1)
= (a-p)(b-1)

7)(a+b)p-2a-2b
= (a+b)p - 2(a+b)
= (a+b)(p-2)

8)p(a-b)-q(b-a)
= p(a-b) + q(a-b)
= (p+q)(a-b)

1. (a+b)^2-2(a+b)
=(a+b)(a+b-2)

2.px+py-qx-qy
=p(x+y)-q(x+y)
=(x+y)(p-q)

3.3x+2y-12xz-8yz
=3x(1-4z)+2y(1-4z)
=(3x+2y)(1-4z)

4.xy-4y-5x+20
=x(y-5)-4(y-5)
=(x-4)(y-5)

5.a^2-ab+ac-bc
=a(a-b)+c(a-b)
=(a+c)(a-b)

6.ab-a-pb+p
=a(b-1)-p(b-1)
=(a-p)(b-1)

7.(a+b)p-2a-2b
=p(a+b)-2(a+b)
=(p-2)(a+b)

8.p(a-b)-q(b-a)
=p(a-b)+q(a-b)
=(p+q)(a-b)