What is expand-pi/7 (x-1) ?

The solution to expand-pi/7 (x-1) is -(pix)/7+pi/7

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expand-pi/7 (x-1)

expand

- \frac{π}{7} (x - 1)

- \frac{π x}{7} + \frac{π}{7}

Solution steps

- \frac{π}{7} (x - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = - \frac{π}{7}, b = x, c = 1

= - \frac{π}{7} x - (- \frac{π}{7}) \cdot 1

Apply minus-plus rules

- (- a) = a

= - \frac{π}{7} x + 1 \cdot \frac{π}{7}

Simplify

- \frac{π}{7} x + 1 \cdot \frac{π}{7} : - \frac{π x}{7} + \frac{π}{7}

= - \frac{π x}{7} + \frac{π}{7}

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