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{243 ( - 3 x ^{4} + 243 )}{( x ^{4} + 243 ) ^{2}}

(xxx = - 32) 3 (2) 3

(n + 2)! (n + 2) - 1

\frac{24}{5 24}

(x^{2} + 2 x y) d y (4 x y + 3 y^{2} - x) d x

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