What is expand (e^x+1)(12x-4) ?

The solution to expand (e^x+1)(12x-4) is 12e^xx-4e^x+12x-4

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expand (e^x+1)(12x-4)

expand

(e^{x} + 1) (12 x - 4)

12 e^{x} x - 4 e^{x} + 12 x - 4

Solution steps

(e^{x} + 1) (12 x - 4)

Apply FOIL method:

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

a = e^{x}, b = 1, c = 12 x, d = - 4

= e^{x} \cdot 12 x + e^{x} (- 4) + 1 \cdot 12 x + 1 \cdot (- 4)

Apply minus-plus rules

+ (- a) = - a

= 12 e^{x} x - 4 e^{x} + 1 \cdot 12 x - 1 \cdot 4

Simplify

12 e^{x} x - 4 e^{x} + 1 \cdot 12 x - 1 \cdot 4 : 12 e^{x} x - 4 e^{x} + 12 x - 4

= 12 e^{x} x - 4 e^{x} + 12 x - 4

\frac{s - 1}{s ( s + 1 )}

(x + b \cdot c + d \cdot e)^{2}

\frac{( x + a ) ^{2} - x}{a}

\frac{x - 4}{3 ( x ^{2} - 3 x + 2 )}

2 ((x + h) - 2)^{2}

What is expand (e^x+1)(12x-4) ?
The solution to expand (e^x+1)(12x-4) is 12e^xx-4e^x+12x-4