2-3c...

Freiderich @Freiderich

April 2021 1 6 Report

Упростите выражения:
m-8/5m * m^2 -64/15m^2;
(c-2/c+2 - c/c-2)*c+2/2-3c

Answers & Comments

гюйс

Verified answer

$\frac{m-8}{5m}* \frac{ m^{2} -64}{15m^{2} }= \frac{m-8}{5m}* \frac{(m-8)(m+8)}{15 m^{2} }= \frac{ (m+8)(m-8)^{2} }{75m^{3}}$

или

$\frac{m-8}{5m}:\frac{ m^{2} -64}{15m^{2} }= \frac{m-8}{5m} * \frac{15m^{2} }{(m-8)(m+8)}= \frac{3m}{m+8}$

$( \frac{c-2}{c+2}- \frac{c}{c-2})* \frac{c+2}{2-3c} = \frac{(c-2)(c-2)-c(c+2)}{(c+2)(c-2)} * \frac{c+2}{2-3c}= \frac{ c^{2} -4c+4-c^{2} -2c}{(c-2)(2-3c)} = \\ \\ \frac{4-6c}{(c-2)(2-3c)} = \frac{2(2-3c)}{(c-2)(2-3c)} = \frac{2}{c-2}$

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