Question

Сократите дробь (144-m)/(m-24√m+144)

Answer 1

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