Solve 1 - (1+R)^{-x} - ((1+R)e)^{-x} + ((1+R)^2 e)^{-

Evaluate

1 - (1 + R)^{- x} - ((1 + R) e)^{- x} + ((1 + R)^{2} e)^{- x}

Multiply the terms

1 - (1 + R)^{- x} - (e (1 + R))^{- x} + ((1 + R)^{2} e)^{- x}

Use the commutative property to reorder the terms

1 - (1 + R)^{- x} - (e (1 + R))^{- x} + (e (1 + R)^{2})^{- x}

Rewrite the expression

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

Simplify the expression

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1 - (1 + R)^{- x} - (e (1 + R))^{- x} + (e + e \times R)^{- 2 x}

Solution

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1 - (1 + R)^{- x} - (e + e R)^{- x} + (e + e \times R)^{- 2 x}