a)
(a-3b)(a+3b)=a^2-(3b)^2=a^2-9b^2
b)
(\frac{1}{2}m+n^2)(\frac{1}{2}m-n^2)=(\frac{1}{2}m)^2-(n^2)^2=\frac{1}{4}m^2-n^4
c)
(\frac{p}{3}-3q)(3q+\frac{p}{3})=(\frac{p}{3}-3q)(\frac{p}{3}+3q)=(\frac{p}{3})^2-(3q)^2=\frac{p^2}{9}-9q^2
d)
(x^2y+2xy^2)(x^2y-2xy^2)=(x^2y)^2-(2xy^2)^2=x^4y^2-4x^2y^4
Zadanie 2
Uprość wyrażenie
(5x +2)^2+(2x-7) (2x +7)=25x^2+20x+4+4x^2-49=29x^2+20x-45