Question

Выполните действия: 1) 5-6a/3a - 1-2b/b; 2) 12x²/5x-10 * x-2/18x; 3) (a-b) : a²-b²/3a²

Answer 1

$frac{5-6a}{3a} - frac{1-2b}{b} = frac{b(5-6a)-3a(1-2b)}{3ab}= frac{5b-6ab-3a+6ab}{3ab} = frac{5b-3a}{3ab} \ \ \ frac{12 x^{2} }{5x-10} * frac{x-2}{18x} = frac{12 x^{2} }{5(x-2)} * frac{x-2}{18x} = frac{2x}{15} \ \ \ (a-b): frac{ a^{2} -b^{2} }{3a^{2} } =(a-b)* frac{3 a^{2} }{(a-b)(a+b)}= frac{3a^{2} }{a+b}$