What is expand (e^{3x}+6)(e^{3x}-4) ?

The solution to expand (e^{3x}+6)(e^{3x}-4) is e^{6x}+2e^{3x}-24

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expand (e^{3x}+6)(e^{3x}-4)

expand

(e^{3 x} + 6) (e^{3 x} - 4)

e^{6 x} + 2 e^{3 x} - 24

Solution steps

(e^{3 x} + 6) (e^{3 x} - 4)

Apply FOIL method:

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

a = e^{3 x}, b = 6, c = e^{3 x}, d = - 4

= e^{3 x} e^{3 x} + e^{3 x} (- 4) + 6 e^{3 x} + 6 (- 4)

Apply minus-plus rules

+ (- a) = - a

= e^{3 x} e^{3 x} - 4 e^{3 x} + 6 e^{3 x} - 6 \cdot 4

Simplify

e^{3 x} e^{3 x} - 4 e^{3 x} + 6 e^{3 x} - 6 \cdot 4 : e^{6 x} + 2 e^{3 x} - 24

= e^{6 x} + 2 e^{3 x} - 24

(e^{2 x} - 4) (e^{- 2 x} - 4)

(x + Δ x)^{2} - 4 (x + Δ x)

\frac{( x + 2 ) ( x + 5 )}{( x + 6 ) ( x + 7 )}

sin (w (t - 2))

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

What is expand (e^{3x}+6)(e^{3x}-4) ?
The solution to expand (e^{3x}+6)(e^{3x}-4) is e^{6x}+2e^{3x}-24