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Popular >

expand (z^2-1)e^z

Solution

expand

(z^{2} - 1) e^{z}

Solution

e^{z} z^{2} - e^{z}

Solution steps

(z^{2} - 1) e^{z}

= e^{z} (z^{2} - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{z}, b = z^{2}, c = 1

= e^{z} z^{2} - e^{z} \cdot 1

= e^{z} z^{2} - 1 \cdot e^{z}

Multiply:

1 \cdot e^{z} = e^{z}

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

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Frequently Asked Questions (FAQ)

What is expand (z^2-1)e^z ?
The solution to expand (z^2-1)e^z is e^zz^2-e^z