簡約 (B^2)/(4A^2)+(-h^2+C/A)^2-|-h^2+C/A |

解

簡約

\frac{B ^{2}}{4 A ^{2}} + (- h^{2} + \frac{C}{A})^{2} - - h^{2} + \frac{C}{A}

\frac{B ^{2} + 4 h ^{4} A ^{2} - 8 A h ^{2} C + 4 C ^{2}}{4 A ^{2}} - \frac{- h ^{2} A + C}{∣ A ∣}

解答ステップ

\frac{B ^{2}}{4 A ^{2}} + (- h^{2} + \frac{C}{A})^{2} - - h^{2} + \frac{C}{A}

結合

- h^{2} + \frac{C}{A} : \frac{- h ^{2} A + C}{A}

= \frac{B ^{2}}{4 A ^{2}} + (- h^{2} + \frac{C}{A})^{2} - \frac{- h ^{2} A + C}{A}

(- h^{2} + \frac{C}{A})^{2} = \frac{( - h ^{2} A + C ) ^{2}}{A ^{2}}

\frac{- h ^{2} A + C}{A} = \frac{- h ^{2} A + C}{∣ A ∣}

= \frac{B ^{2}}{4 A ^{2}} + \frac{( - h ^{2} A + C ) ^{2}}{A ^{2}} - \frac{- h ^{2} A + C}{∣ A ∣}

結合

\frac{B ^{2}}{4 A ^{2}} + \frac{( - h ^{2} A + C ) ^{2}}{A ^{2}} - \frac{- h ^{2} A + C}{∣ A ∣} : \frac{B ^{2} + 4 h ^{4} A ^{2} - 8 A h ^{2} C + 4 C ^{2}}{4 A ^{2}} - \frac{- h ^{2} A + C}{∣ A ∣}

= \frac{B ^{2} + 4 h ^{4} A ^{2} - 8 A h ^{2} C + 4 C ^{2}}{4 A ^{2}} - \frac{- h ^{2} A + C}{∣ A ∣}