What is expand (x-pi/2)*(x-pi) ?

The solution to expand (x-pi/2)*(x-pi) is x^2-(3pix)/2+(pi^2)/2

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expand (x-pi/2)*(x-pi)

expand

(x - \frac{π}{2}) \cdot (x - π)

x^{2} - \frac{3 π x}{2} + \frac{π ^{2}}{2}

Solution steps

(x - \frac{π}{2}) (x - π)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = x, b = - \frac{π}{2}, c = x, d = - π

= xx + x (- π) + (- \frac{π}{2}) x + (- \frac{π}{2}) (- π)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= xx - π x - \frac{π}{2} x + π \frac{π}{2}

Simplify

xx - π x - \frac{π}{2} x + π \frac{π}{2} : x^{2} - \frac{3 π x}{2} + \frac{π ^{2}}{2}

= x^{2} - \frac{3 π x}{2} + \frac{π ^{2}}{2}

\frac{e ^{- 2 s}}{s ( s - 2 )}

\frac{\partial}{\partial x} ((f (x, y)) (x^{2} - x y))

e^{2 x} (3 x + 2)

\frac{( y ^{2} + 2 y - 3 ) ^{2}}{16 ( y + 1 ) ^{2}}

\frac{b ^{2}}{( n - 1 ) \cdot s ^{2}}

What is expand (x-pi/2)*(x-pi) ?
The solution to expand (x-pi/2)*(x-pi) is x^2-(3pix)/2+(pi^2)/2