Question

3 и 4. пожалуйста помогите) совсем не успеваю сделать

Answer 1

3.

$left(frac{m^2}{m+5}-frac{m^3}{m^2+10m+25} right): left(frac{m}{m+5}-frac{m^2}{m^2-25} right) =$

$left(frac{m^2}{m+5}-frac{m^3}{(m+5)^2} right): left(frac{m}{m+5}-frac{m^2}{(m+5)(m-5)} right) =$

$left(frac{m^2(m+5)}{(m+5)^2}-frac{m^3}{(m+5)^2} right): left(frac{m(m-5)}{(m+5)(m-5)}-frac{m^2}{(m+5)(m-5)} right) =$

$left(frac{m^3+5m^2-m^3}{(m+5)^2} right): left(frac{m^2-5m-m^2}{(m+5)(m-5)} right) =$

$frac{5m^2}{(m+5)^2}: frac{-5m}{(m+5)(m-5)} =$

$frac{5m^2}{(m+5)^2} cdot frac{(m+5)(m-5)}{-5m}=$

$frac{m}{m+5} cdot frac{m-5}{-1}= frac{-m(m-5)}{m+5}=$

$frac{-m^2+5m}{m+5}=frac{5m-m^2}{m+5}$

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4.

$x-frac{8}{x}=y /()^2$

$x^2-2cdotxcdotfrac{8}{x}+frac{64}{x^2}=y^2$

$x^2-16+frac{64}{x^2}=y^2$

$65-16=y^2$

$y^2=49$

$y= pm 7$

$x-frac{8}{x} pm 7$