What is expand 72(e^{6t}-e^{-6t})^2 ?

The solution to expand 72(e^{6t}-e^{-6t})^2 is 72e^{12t}-144+72e^{-12t}

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expand 72(e^{6t}-e^{-6t})^2

expand

72 (e^{6 t} - e^{- 6 t})^{2}

72 e^{12 t} - 144 + 72 e^{- 12 t}

Solution steps

72 (e^{6 t} - e^{- 6 t})^{2}

(e^{6 t} - e^{- 6 t})^{2} = e^{12 t} - 2 + e^{- 12 t}

= 72 (e^{12 t} + e^{- 12 t} - 2)

Distribute parentheses

= 72 e^{12 t} + 72 (- 2) + 72 e^{- 12 t}

Apply minus-plus rules

+ (- a) = - a

= 72 e^{12 t} - 72 \cdot 2 + 72 e^{- 12 t}

Multiply the numbers:

72 \cdot 2 = 144

= 72 e^{12 t} - 144 + 72 e^{- 12 t}

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

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\frac{x ^{3} - 3 x + 10}{( 3 - x ) x ^{2}}

\frac{4 x}{( x - 1 ) ( x + 1 )}

What is expand 72(e^{6t}-e^{-6t})^2 ?
The solution to expand 72(e^{6t}-e^{-6t})^2 is 72e^{12t}-144+72e^{-12t}