Question

Помогите пожалуйста,срочнро

Answer 1

Объяснение:

$(x+\frac{5}{6})*(x- \frac{5}{6})=x^2-(\frac{5}{6})^2= (\frac{4}{9})^2-(\frac{5}{6})^2=\frac{16}{81} -(\frac{5}{6})^2 .\\x+\frac{5}{6}*(x-\frac{5}{6})= x+\frac{5}{6}x-(\frac{5}{6} )^2=\frac{4}{9}+\frac{5}{6}*\frac{4}{9}-(\frac{5}{6})^2=\frac{4}{9}+\frac{10}{27} -(\frac{5}{6})^2=\\=\frac{4*3+10}{27} -(\frac{5}{6})^2=\frac{22}{27}-(\frac{5}{6})^2=\frac{22*3}{27*3}-(\frac{5}{6})^2=\frac{66}{81}-(\frac{5}{6})^2. \ \ \ \ \Rightarrow\\ (x+\frac{5}{6})*(x- \frac{5}{6})<x+\frac{5}{6}*(x-\frac{5}{6}).$