What is expand (z^2-8)e^{3-z} ?

The solution to expand (z^2-8)e^{3-z} is e^{3-z}z^2-8e^{3-z}

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expand (z^2-8)e^{3-z}

expand

(z^{2} - 8) e^{3 - z}

e^{3 - z} z^{2} - 8 e^{3 - z}

Solution steps

(z^{2} - 8) e^{3 - z}

= e^{3 - z} (z^{2} - 8)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{3 - z}, b = z^{2}, c = 8

= e^{3 - z} z^{2} - e^{3 - z} \cdot 8

= e^{3 - z} z^{2} - 8 e^{3 - z}

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What is expand (z^2-8)e^{3-z} ?
The solution to expand (z^2-8)e^{3-z} is e^{3-z}z^2-8e^{3-z}