Упростите выражение . Created by kryaALbina. algebra-ru

Упростите выражение ...

sangers1959

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Ответ:

Объяснение:

1. (mn-m²)/(m²+n²)=m*(n-m)/(m²+n²)=-m*(m-n)/(m²+n²)).

2.m/(m+n)+n/(m-n)=(m*(m-n)+n*(m+n))/((m-n)(m+n))=

=(m²-mn+mn+n²)/((m-n)(m+n))=(m²+n²)/((m-n)(m+n)).

3. -m*(m-n)/(m²+n²))*(m²+n²)/((m-n)(m+n))=

=-m*(m-n)*(m²+n²)/((m²+n²)*(m-n)(m+n))=-m/(m+n).

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Universalka

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$\frac{mn-m^{2} }{m^{2}+n^{2}}*(\frac{m}{m+n}+\frac{n}{m-n})\\\\1)\frac{m}{m+n}+\frac{n}{m-n}=\frac{m^{2}-mn+mn+n^{2}}{(m+n)(m-n)}=\frac{m^{2}+n^{2}}{(m+n)(m-n)}\\\\2)\frac{mn-m^{2} }{m^{2}+n^{2}} *\frac{m^{2}+n^{2}}{(m+n)(m-n)}=-\frac{m(m-n)(m^{2}+n^{2})}{(m^{2}+n^{2})(m+n)(m-n)}=-\frac{m}{m+n}$

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