Zadanie 16
5*2^{44}-7*2^{40}-2^{39}*128=5*2^{44}-7*2^{40}-2^{39}*2^7=5*2^{44}-7*2^{40}-2^{46}=
2^{40}(5*2^4-7-2^6)=2^{40}(5*16-7-64)=2^{40}(80-7-64)=2^{40}*9 co należało udowodnić
Zadanie 17
(\frac{\sqrt3+\sqrt5}{2})^2-(\frac{\sqrt3-\sqrt5}{2})^2=\sqrt{15}
L=\frac{(\sqrt3+\sqrt5)^2-(\sqrt3-\sqrt5)^2}{4}=\frac{3+2\sqrt{15}+5-(3-2\sqrt{15}+5)}{4}=\frac{3+2\sqrt{15}+5-3+2\sqrt{15}-5}{4}=\frac{4\sqrt{15}}{4}=\sqrt{15}
L = P