What is expand 5.5(2.5t-6.25+6.25e^{-0.4t}) ?

The solution to expand 5.5(2.5t-6.25+6.25e^{-0.4t}) is 13.75t-34.375+34.375e^{-0.4t}

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expand 5.5(2.5t-6.25+6.25e^{-0.4t})

expand

5.5 (2.5 t - 6.25 + 6.25 e^{- 0.4 t})

13.75 t - 34.375 + 34.375 e^{- 0.4 t}

Solution steps

5.5 (2.5 t - 6.25 + 6.25 e^{- 0.4 t})

Distribute parentheses

= 5.5 \cdot 2.5 t + 5.5 (- 6.25) + 5.5 \cdot 6.25 e^{- 0.4 t}

Apply minus-plus rules

+ (- a) = - a

= 2.5 \cdot 5.5 t - 5.5 \cdot 6.25 + 5.5 \cdot 6.25 e^{- 0.4 t}

Simplify

2.5 \cdot 5.5 t - 5.5 \cdot 6.25 + 5.5 \cdot 6.25 e^{- 0.4 t} : 13.75 t - 34.375 + 34.375 e^{- 0.4 t}

= 13.75 t - 34.375 + 34.375 e^{- 0.4 t}

\frac{( 2 x + 3 ) ( 3 x + 4 )}{6}

(1 + 3) i

- \frac{- \frac{16}{5}}{t + 3} + \frac{\frac{11}{5}}{t - 2}

\frac{n ( n + 1 ) ( n + 2 ) ( n + 3 )}{4}

\frac{40960000}{( 4096 - x ) ^{2}}

What is expand 5.5(2.5t-6.25+6.25e^{-0.4t}) ?
The solution to expand 5.5(2.5t-6.25+6.25e^{-0.4t}) is 13.75t-34.375+34.375e^{-0.4t}