Question

Сократить дробь $frac{sqrt{-m}-2 }{m+4}$

Answer 1

$frac{sqrt{-m}, -2}{m+4}=Big [-mgeq 0; to ; mleq 0; ; to ; ; |m|=-m; ,; m+4=4-|m|; Big ]=\\=frac{sqrt{-m}, -2}{2^2-(sqrt{|m|})^2}=frac{sqrt{-m}, -2}{(2-sqrt{-m})(2+sqrt{-m})}=frac{-(2-sqrt{-m})}{(2+sqrt{-m})(2-sqrt{-m})}=-frac{1}{2+sqrt{-m}}$