Question

A2-2ab-b2 деленное на a2-2ab, если a деленное на b = 3 вторых. , выручайте! )

Answer 1

(a^2-2ab-b^2)/(a^2-2ab)=  (9b^2/4 -3b^2-b^2)/(9b^2/4 -3b^2) = (9b^2/4 - 4b^2)/(9b^2/4 -3b^2) =

7/3  

 a/b=3/2

a=3b/2

ставим

Answer 2

$\frac{a}{b}=\frac{3}{2}\\ a = \frac{3b}{2}\\ b = \frac{2a}{3}\\\\ \frac{a^{2}-2ab-b^{2}}{a^{2}-2ab}=\frac{a^{2}-2ab}{a^{2}-2ab}-\frac{b^{2}}{a^{2}-2ab}=1-\frac{b^{2}}{a^{2}-2ab}=1 -\frac{b^{2}}{(\frac{3b}{2})^{2}-2\cdot \frac{3b}{2}\cdot b}=\\ =1-\frac{b^{2}}{\frac{9b^{2}}{4}-3b^{2}}=1-\frac{b^{2}}{\frac{9b^{2}}{4}-\frac{12b^{2}}{4}}=1-\frac{b^{2}}{-\frac{3}{4}b^{2}}=1-1:(-\frac{3}{4})=\\ =1+\frac{4}{3}=\frac{3}{3}+\frac{4}{3}=\frac{7}{3}$

ответ: 7 /3