What is expand (2+3/pi)(x-1) ?

The solution to expand (2+3/pi)(x-1) is (3x)/pi+2x-3/pi-2

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expand (2+3/pi)(x-1)

expand

(2 + \frac{3}{π}) (x - 1)

\frac{3 x}{π} + 2 x - \frac{3}{π} - 2

Solution steps

(2 + \frac{3}{π}) (x - 1)

Apply FOIL method:

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

a = 2, b = \frac{3}{π}, c = x, d = - 1

= 2 x + 2 (- 1) + \frac{3}{π} x + \frac{3}{π} (- 1)

Apply minus-plus rules

+ (- a) = - a

= 2 x - 2 \cdot 1 + \frac{3}{π} x - 1 \cdot \frac{3}{π}

Simplify

2 x - 2 \cdot 1 + \frac{3}{π} x - 1 \cdot \frac{3}{π} : \frac{3 x}{π} + 2 x - \frac{3}{π} - 2

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

\frac{( y + 3 ) ( y - 6 )}{( y + 1 ) ( 2 y + 3 )}

\frac{x ( 3 x + 5 ) + 13}{2 x + 1}

\frac{d}{d y} ((z (y, x)) (e^{x z (y, x)} + x y))

\frac{F}{x ( A x ^{2} + B x + C )}

\frac{3 ( 3 y + x y - 2 x )}{2 x ( y + 5 )}

What is expand (2+3/pi)(x-1) ?
The solution to expand (2+3/pi)(x-1) is (3x)/pi+2x-3/pi-2