Вопрос:

Сократите дробь (7x-7y)/(x^2-y^2)

Ответ:

\[\ \frac{7x - 7y}{x^{2} - y^{2}\ } = \frac{7 \cdot (x - y)}{(x - y)(x + y)} = \frac{7}{x + y}\]

\[\ \frac{3b + 7^{\backslash b}}{3b} - \frac{b^{2} - 5^{\backslash 3}}{b^{2}} =\]

\[= \frac{b(3b + 7) - 3 \cdot \left( b^{2} - 5 \right)}{3b^{2}} =\]

\[= \frac{3b^{2} + 7b - 3b^{2} + 15}{3b^{2}} =\]

\[= \frac{7b + 15}{3b^{2}}\]

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