What is expand e^x*(e^{z+1}-1) ?

The solution to expand e^x*(e^{z+1}-1) is e^{x+z+1}-e^x

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expand e^x*(e^{z+1}-1)

expand

e^{x} \cdot (e^{z + 1} - 1)

e^{x + z + 1} - e^{x}

Solution steps

e^{x} (e^{z + 1} - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x}, b = e^{z + 1}, c = 1

= e^{x} e^{z + 1} - e^{x} \cdot 1

= e^{x} e^{z + 1} - 1 \cdot e^{x}

Simplify

e^{x} e^{z + 1} - 1 \cdot e^{x} : e^{x + z + 1} - e^{x}

= e^{x + z + 1} - e^{x}

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What is expand e^x*(e^{z+1}-1) ?
The solution to expand e^x*(e^{z+1}-1) is e^{x+z+1}-e^x