f.2 maths

1.-20p(3p-2)^2 -20(3p-2)p -5p
-20p(3p-2)2 -20(3p-2)p -5p
=-5p[4(3p-2)2+4 (3p-2) +1]
=-5p[2(3p-2)+1]2
=-5p(6p-4+1)2
=-5p(6p-3)2
=-5p[3(2p-1)]2
=-45p(2p-1)2

2.4a^3- (b^2 - 6b+9)a
4a3- (b2-6b+9)a
=a[4a2-(b-3)2]
=a(2a+b-3)(2a-b+3)

3.1- x^2 +4xy-4y^2
1- x2+4xy-4y2
=1-(x2-4xy+4y2)
=1-(x-2y)2
=(1+x-2y)(1-x+2y)

4.a^6 k^6 -1
a6k6-1
=(a3k3+1)(a3k3-1)
=(ak+1)(a2k2-ak+1)(ak-1)(a2k2+ak+1)

1.-20p(3p-2)^2 -20(3p-2)p -5p
=-20p(3p-2)(3p-2+1)-5p
=-5p(4(3p-2)(3p-1)+1)


2.4a^3- (b^2 - 6b+9)a
=a(4a^2-b^2-6b+9)
=a(4a^2-(b-3)^2)
=a(4a-b+3)(4a+b-3)

3.1- x^2 +4xy-4y^2
=1-(x-2y)^2
=(1+x-2y)(1-x+2y)

4.a^6 k^6 -1
=(a^3k^3-1)(a^3k^3+1)