Question

(a/b+81b/a-18)*1/(a-9b) Упростите выражение

Answer 1

$(frac{a}{b}+frac{81b}{a} -18)cdotfrac{1}{a-9b}=(frac{a^2}{ab}+frac{81b^2}{ab} -frac{18ab}{ab})cdotfrac{1}{a-9b}=frac{a^2+81b^2-18ab}{ab}cdotfrac{1}{a-9b}= frac{(a-9b)^2}{ab}cdotfrac{1}{a-9b}= frac{a-9b}{ab}$