What is expand (8e^{-300t}-8e^{-1200t})^2 ?

The solution to expand (8e^{-300t}-8e^{-1200t})^2 is 64e^{-600t}-128e^{-1500t}+64e^{-2400t}

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expand (8e^{-300t}-8e^{-1200t})^2

expand

(8 e^{- 300 t} - 8 e^{- 1200 t})^{2}

64 e^{- 600 t} - 128 e^{- 1500 t} + 64 e^{- 2400 t}

Solution steps

(8 e^{- 300 t} - 8 e^{- 1200 t})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = 8 e^{- 300 t}, b = 8 e^{- 1200 t}

= (8 e^{- 300 t})^{2} - 2 \cdot 8 e^{- 300 t} \cdot 8 e^{- 1200 t} + (8 e^{- 1200 t})^{2}

Simplify

(8 e^{- 300 t})^{2} - 2 \cdot 8 e^{- 300 t} \cdot 8 e^{- 1200 t} + (8 e^{- 1200 t})^{2} : 64 e^{- 600 t} - 128 e^{- 1500 t} + 64 e^{- 2400 t}

= 64 e^{- 600 t} - 128 e^{- 1500 t} + 64 e^{- 2400 t}

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(- x y^{'} (x) - y) x y

\frac{( 4 - x ^{2} ) ( x 3 )}{4}

What is expand (8e^{-300t}-8e^{-1200t})^2 ?
The solution to expand (8e^{-300t}-8e^{-1200t})^2 is 64e^{-600t}-128e^{-1500t}+64e^{-2400t}