What is expand (1+e^t)(3-sqrt(t)) ?

The solution to expand (1+e^t)(3-sqrt(t)) is 3-sqrt(t)+3e^t-e^tsqrt(t)

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expand (1+e^t)(3-sqrt(t))

expand

(1 + e^{t}) (3 - t)

3 - t + 3 e^{t} - e^{t} t

Solution steps

(1 + e^{t}) (3 - t)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 1, b = e^{t}, c = 3, d = - t

= 1 \cdot 3 + 1 \cdot (- t) + e^{t} \cdot 3 + e^{t} (- t)

Apply minus-plus rules

+ (- a) = - a

= 1 \cdot 3 - 1 \cdot t + 3 e^{t} - e^{t} t

Simplify

1 \cdot 3 - 1 \cdot t + 3 e^{t} - e^{t} t : 3 - t + 3 e^{t} - e^{t} t

= 3 - t + 3 e^{t} - e^{t} t

\frac{\partial}{\partial b} ((h) (2^{a} (1 + b)))

\frac{( x - 3 ) ^{4} ( x + 4 ) ^{3} ( 2 x + 1 ) ^{2} ( 2 x - 1 ) ^{2}}{16}

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

2 e^{- t} + e^{- t} (e^{t} - e^{z})

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

What is expand (1+e^t)(3-sqrt(t)) ?
The solution to expand (1+e^t)(3-sqrt(t)) is 3-sqrt(t)+3e^t-e^tsqrt(t)