簡約 3/5 m^2-2mn+1/10 m^2-1/3 mn+2mn-2m^2

解

簡約

\frac{3}{5} m^{2} - 2 mn + \frac{1}{10} m^{2} - \frac{1}{3} mn + 2 mn - 2 m^{2}

- \frac{13}{10} m^{2} - \frac{1}{3} mn

解答ステップ

\frac{3}{5} m^{2} - 2 mn + \frac{1}{10} m^{2} - \frac{1}{3} mn + 2 mn - 2 m^{2}

条件のようなグループ

= - 2 m^{2} + \frac{3}{5} m^{2} + \frac{1}{10} m^{2} - 2 mn + 2 mn - \frac{1}{3} mn

類似した元を足す:

- 2 mn + 2 mn = 0

= - 2 m^{2} + \frac{3}{5} m^{2} + \frac{1}{10} m^{2} - \frac{1}{3} mn

共通項をくくり出す

m^{2}

= m^{2} (- 2 + \frac{3}{5} + \frac{1}{10}) - \frac{1}{3} mn

簡素化

m^{2} (- 2 + \frac{3}{5} + \frac{1}{10}) : - m^{2} \frac{13}{10}

= - m^{2} \frac{13}{10} - \frac{1}{3} mn

= - \frac{13}{10} m^{2} - \frac{1}{3} mn