Question

Сократите дробь

(144-m)/(m-24√m+144)

Answer 1

$frac{12^{2}- sqrt{m^2} }{( sqrt{m}-12)^2 } = frac{(12- sqrt{m})(12+ sqrt{m}) }{( sqrt{m}-12)^2 } =- frac{( sqrt{m}-12)( sqrt{m}+12) }{( sqrt{m}-12)^2 } =- frac{ sqrt{m}+12 }{ sqrt{m}-12 } = frac{12+ sqrt{m} }{12- sqrt{m} }$