1.
a)(3p-2q²)=9p²-12pq²+4q^4
b) (2b+3)³=8b³+36b²+54b+27
c)(2px+4)²=4p²x²+16px+16
2.
(c-d)²-(c+d)(c-d)+2cd= c²-2cd+d²-(c²-d²)+2cd=
=c²-2cd+d²-c²+d²+2cd=2d²
3.
4(m-n)²+4m(m-n)= 4(m-n)(m-n)+4m(m-n)=
=4(m-n)[(m-n)+m]= 4(m-n)(2m-n)
4.
a) 8-m³=2³-m³=(2-m)(4+2m+m²)=(2-m)(2+m)²=(2-m)(2+m)(2+m)
b) 1/8a³+b³=(1/2a)³+b³=(1/2a+b)(1/4a²-1/2ab+b²)
5.
X²-2xc+c²-d²=(x-c)²-d²=[(x-c)-d][(x-c)+d]= (x-c-d)(x-c+d)