What is expand (1/5)(-7^n)(1+5x) ?

The solution to expand (1/5)(-7^n)(1+5x) is -(7^n)/5-7^nx

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expand (1/5)(-7^n)(1+5x)

expand

(\frac{1}{5}) (- 7^{n}) (1 + 5 x)

- \frac{7 ^{n}}{5} - 7^{n} x

Solution steps

(\frac{1}{5}) (- 7^{n}) (1 + 5 x)

Simplify

(\frac{1}{5}) (- 7^{n}) (1 + 5 x) : - \frac{1}{5} \cdot 7^{n} (1 + 5 x)

= - \frac{1}{5} \cdot 7^{n} (1 + 5 x)

Apply the distributive law:

a (b + c) = ab + a c

- \frac{1}{5} \cdot 7^{n} (1 + 5 x) = - \frac{1}{5} \cdot 7^{n} \cdot 1 - \frac{1}{5} \cdot 7^{n} \cdot 5 x

= - \frac{1}{5} \cdot 7^{n} \cdot 1 - \frac{1}{5} \cdot 7^{n} \cdot 5 x

Simplify

- \frac{1}{5} \cdot 7^{n} \cdot 1 - \frac{1}{5} \cdot 7^{n} \cdot 5 x : - \frac{7 ^{n}}{5} - 7^{n} x

= - \frac{7 ^{n}}{5} - 7^{n} x

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What is expand (1/5)(-7^n)(1+5x) ?
The solution to expand (1/5)(-7^n)(1+5x) is -(7^n)/5-7^nx