What is expand (e^t+4)(e^t-k) ?

The solution to expand (e^t+4)(e^t-k) is e^{2t}-ke^t+4e^t-4k

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expand (e^t+4)(e^t-k)

expand

(e^{t} + 4) (e^{t} - k)

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

Solution steps

(e^{t} + 4) (e^{t} - k)

Apply FOIL method:

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

a = e^{t}, b = 4, c = e^{t}, d = - k

= e^{t} e^{t} + e^{t} (- k) + 4 e^{t} + 4 (- k)

Apply minus-plus rules

+ (- a) = - a

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

e^{t} e^{t} = e^{2 t}

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

ln (z) (z - 1)^{5}

\frac{x y}{( x - y ) ^{2}}

b c + d + d! (b +! c) (a d + b)

\frac{d}{d x} ((t) (- k (t - 4)))

\frac{100000 ( s + 10 )}{s + 5}

What is expand (e^t+4)(e^t-k) ?
The solution to expand (e^t+4)(e^t-k) is e^{2t}-ke^t+4e^t-4k