What is expand z[(n-1)a^{n-1}] ?

The solution to expand z[(n-1)a^{n-1}] is na^{n-1}z-a^{n-1}z

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expand z[(n-1)a^{n-1}]

expand

z [(n - 1) a^{n - 1}]

n a^{n - 1} z - a^{n - 1} z

Solution steps

z ((n - 1) a^{n - 1})

Remove parentheses:

(a) = a

= z (n - 1) a^{n - 1}

= a^{n - 1} z (n - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = z a^{n - 1}, b = n, c = 1

= z a^{n - 1} n - z a^{n - 1} \cdot 1

= n a^{n - 1} z - 1 \cdot a^{n - 1} z

Multiply:

1 \cdot a^{n - 1} = a^{n - 1}

= n a^{n - 1} z - a^{n - 1} z

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What is expand z[(n-1)a^{n-1}] ?
The solution to expand z[(n-1)a^{n-1}] is na^{n-1}z-a^{n-1}z