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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

(2 x - 1) (x - 1) (x - 3)

- 2 (x + 1) sin^{2} (x + 1)

\frac{( x - 5 ) ^{3}}{3}

\frac{n ( 3 n - 1 )}{2}

\frac{x ^{2} + 5 x + 7}{( x ^{2} + 4 x + 5 ) ( s + 1 ) ^{2}}

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