What is expand (-2-m)(x-pi/4) ?

The solution to expand (-2-m)(x-pi/4) is -2x+pi/2-mx+(pim)/4

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expand (-2-m)(x-pi/4)

expand

(- 2 - m) (x - \frac{π}{4})

- 2 x + \frac{π}{2} - m x + \frac{πm}{4}

Solution steps

(- 2 - m) (x - \frac{π}{4})

Apply FOIL method:

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

a = - 2, b = - m, c = x, d = - \frac{π}{4}

= (- 2) x + (- 2) (- \frac{π}{4}) + (- m) x + (- m) (- \frac{π}{4})

Apply minus-plus rules

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

= - 2 x + 2 \cdot \frac{π}{4} - m x + \frac{π}{4} m

Simplify

- 2 x + 2 \cdot \frac{π}{4} - m x + \frac{π}{4} m : - 2 x + \frac{π}{2} - m x + \frac{πm}{4}

= - 2 x + \frac{π}{2} - m x + \frac{πm}{4}

\frac{5 ( 2 x - 5 ) ^{2}}{4}

\frac{( 5 x ^{2} + 60 x - 5 )}{( x + 1 ) ( x - 4 ) ( x + 5 )}

\frac{\partial}{\partial x} ((y) (3 x^{2} - 12 y))

\frac{12}{( x + 12 ) ^{2}}

\frac{d ^{2}}{d x ^{2}} ((y) (- 4 x + 40))

What is expand (-2-m)(x-pi/4) ?
The solution to expand (-2-m)(x-pi/4) is -2x+pi/2-mx+(pim)/4