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Автор - kusdhukv

1. Выполните действие:
a) 6/x^2+3x-2/x
б) 5b/a^2-ab * a^2-b^2/10b^2

Ответ

Автор - NNNLLL54

1a); ; frac{6}{x^2+3x}-frac{2}{x}=frac{6}{x(x+3)}-frac{2}{x}=frac{6-2(x+3)}{x(x+3)}=frac{-2x}{x(x+3)}=-frac{2}{x+3}\\1b); ; frac{6}{x^2}+frac{3x-2}{x}=frac{6+x(3x-2)}{x^2}=frac{3x^2-2x+6}{x^2}\\\2); ; frac{5b}{a^2-ab}cdot frac{a^2-b^2}{10b^2}=frac{5b}{a(a-b)}cdot frac{(a-b)(a+b)}{10b^2}=frac{a+b}{2cdot acdot b}

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