Beispiel Nr: 22
$(ax+ b)\cdot (ax - b) = a^{2}x^{2} - b^{2} \\ (a + b)\cdot (a - b)\\ \textbf{Gegeben:} \\ (5\frac{1}{3}x + 1\frac{8}{9})(5\frac{1}{3}x - 1\frac{8}{9})\\ \\ \textbf{Rechnung:} \\\text{3. Binomische Formel} \\(5\frac{1}{3}x+1\frac{8}{9})(5\frac{1}{3}x-1\frac{8}{9})=5\frac{1}{3}^{2}x^{2}-1\frac{8}{9}^{2} \\(5\frac{1}{3}x+1\frac{8}{9})(5\frac{1}{3} x-1\frac{8}{9})= 28\frac{4}{9}x^2-3\frac{46}{81} $