簡約 x^2+(3x)^2-x^2(1/2)

解

簡約

x^{2} + (3 x)^{2} - x^{2} (\frac{1}{2})

\frac{19}{2} x^{2}

解答ステップ

x^{2} + (3 x)^{2} - x^{2} (\frac{1}{2})

簡素化

(3 x)^{2} : 9 x^{2}

= x^{2} + 9 x^{2} - x^{2} \frac{1}{2}

類似した元を足す:

x^{2} + 9 x^{2} = 10 x^{2}

= 10 x^{2} - x^{2} \frac{1}{2}

共通項をくくり出す

x^{2}

= x^{2} (10 - \frac{1}{2})

10 - \frac{1}{2} = \frac{19}{2}

= x^{2} \frac{19}{2}

= \frac{19}{2} x^{2}