簡約 (((a(1+g)^n)(1-0.6a)))/c-c

解

簡約

\frac{( ( a \cdot ( 1 + g ) ^{n} ) \cdot ( 1 - 0.6 a ) )}{c} - c

\frac{- c ^{2} + a ( 1 + g ) ^{n} - 0.6 a ^{2} ( 1 + g ) ^{n}}{c}

解答ステップ

\frac{( a ( 1 + g ) ^{n} ) ( 1 - 0.6 a )}{c} - c

分数の規則を適用する:

a + \frac{b}{c} = \frac{a c + b}{c}

= \frac{- cc + a ( 1 + g ) ^{n} ( 1 - 0.6 a )}{c}

指数の規則を適用する:

aa = a^{2}

cc = c^{2}

= \frac{- c ^{2} + a ( 1 + g ) ^{n} ( 1 - 0.6 a )}{c}

簡素化

- c^{2} + a (1 + g)^{n} (1 - 0.6 a) : - c^{2} + a (1 + g)^{n} - 0.6 a^{2} (1 + g)^{n}

= \frac{- c ^{2} + a ( 1 + g ) ^{n} - 0.6 a ^{2} ( 1 + g ) ^{n}}{c}