What is expand pi(-pi/4+1) ?

The solution to expand pi(-pi/4+1) is -(pi^2)/4+pi

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expand pi(-pi/4+1)

expand

π (- \frac{π}{4} + 1)

- \frac{π ^{2}}{4} + π

Solution steps

π (- \frac{π}{4} + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = π, b = - \frac{π}{4}, c = 1

= π (- \frac{π}{4}) + π 1

Apply minus-plus rules

+ (- a) = - a

= - π \frac{π}{4} + 1 π

Simplify

- π \frac{π}{4} + 1 π : - \frac{π ^{2}}{4} + π

= - \frac{π ^{2}}{4} + π

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