What is expand x^4sqrt(6-x)(e^k-e^{-z}) ?

The solution to expand x^4sqrt(6-x)(e^k-e^{-z}) is e^kx^4sqrt(6-x)-e^{-z}x^4sqrt(6-x)

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expand x^4sqrt(6-x)(e^k-e^{-z})

expand

x^{4} 6 - x (e^{k} - e^{- z})

e^{k} x^{4} 6 - x - e^{- z} x^{4} 6 - x

Solution steps

x^{4} 6 - x (e^{k} - e^{- z})

= x^{4} (e^{k} - e^{- z}) 6 - x

Apply the distributive law:

a (b - c) = ab - a c

a = x^{4} 6 - x, b = e^{k}, c = e^{- z}

= x^{4} 6 - x e^{k} - x^{4} 6 - x e^{- z}

= e^{k} x^{4} 6 - x - e^{- z} x^{4} 6 - x

\frac{2 s ^{2} + 2 s - 1}{s ^{2} ( s ^{2} - 2 s - 1 )}

\frac{( 5 s + 20 )}{( ( s + 1 ) ( s + 2 ) ( s + 3 ) )}

y (x sin (x) + cos (x))

- \frac{1}{2} (e^{- t} - 1)

What is expand x^4sqrt(6-x)(e^k-e^{-z}) ?
The solution to expand x^4sqrt(6-x)(e^k-e^{-z}) is e^kx^4sqrt(6-x)-e^{-z}x^4sqrt(6-x)