What is expand (2t+e^t)(2-sqrt(t)) ?

The solution to expand (2t+e^t)(2-sqrt(t)) is 4t-2tsqrt(t)+2e^t-e^tsqrt(t)

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expand (2t+e^t)(2-sqrt(t))

expand

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

4 t - 2 t t + 2 e^{t} - e^{t} t

Solution steps

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

Apply FOIL method:

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

a = 2 t, b = e^{t}, c = 2, d = - t

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

Apply minus-plus rules

+ (- a) = - a

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

Multiply the numbers:

2 \cdot 2 = 4

= 4 t - 2 t t + 2 e^{t} - e^{t} t

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

6 x^{3} δ (x - 2)

(4 - x) ln (x + 7)

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

(x - \frac{1}{x})^{12}

What is expand (2t+e^t)(2-sqrt(t)) ?
The solution to expand (2t+e^t)(2-sqrt(t)) is 4t-2tsqrt(t)+2e^t-e^tsqrt(t)