What is expand (e^x-6)(e^x+2) ?

The solution to expand (e^x-6)(e^x+2) is e^{2x}-4e^x-12

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expand (e^x-6)(e^x+2)

expand

(e^{x} - 6) (e^{x} + 2)

e^{2 x} - 4 e^{x} - 12

Solution steps

(e^{x} - 6) (e^{x} + 2)

Apply FOIL method:

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

a = e^{x}, b = - 6, c = e^{x}, d = 2

= e^{x} e^{x} + e^{x} \cdot 2 + (- 6) e^{x} + (- 6) \cdot 2

Apply minus-plus rules

+ (- a) = - a

= e^{x} e^{x} + 2 e^{x} - 6 e^{x} - 6 \cdot 2

Simplify

e^{x} e^{x} + 2 e^{x} - 6 e^{x} - 6 \cdot 2 : e^{2 x} - 4 e^{x} - 12

= e^{2 x} - 4 e^{x} - 12

(2 d - 6 e) (5)

\frac{\partial}{\partial x} ((y) (10 - y - 2 x))

\frac{e ^{- 2 π s} - s}{s ( s ^{2} + 1 ) ( s ^{2} + 4 )}

x^{3} + 3^{3}

(- 4 - 9 i)^{2}

What is expand (e^x-6)(e^x+2) ?
The solution to expand (e^x-6)(e^x+2) is e^{2x}-4e^x-12