What is expand e^{5p-p^2}(5-2p) ?

The solution to expand e^{5p-p^2}(5-2p) is 5e^{5p-p^2}-2e^{5p-p^2}p

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expand e^{5p-p^2}(5-2p)

expand

e^{5 p - p^{2}} (5 - 2 p)

5 e^{5 p - p^{2}} - 2 e^{5 p - p^{2}} p

Solution steps

e^{5 p - p^{2}} (5 - 2 p)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{5 p - p^{2}}, b = 5, c = 2 p

= e^{5 p - p^{2}} \cdot 5 - e^{5 p - p^{2}} \cdot 2 p

= 5 e^{5 p - p^{2}} - 2 e^{5 p - p^{2}} p

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What is expand e^{5p-p^2}(5-2p) ?
The solution to expand e^{5p-p^2}(5-2p) is 5e^{5p-p^2}-2e^{5p-p^2}p