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

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

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expand (e^{2x}+6)(e^{2x}-4)

expand

(e^{2 x} + 6) (e^{2 x} - 4)

e^{4 x} + 2 e^{2 x} - 24

Solution steps

(e^{2 x} + 6) (e^{2 x} - 4)

Apply FOIL method:

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

a = e^{2 x}, b = 6, c = e^{2 x}, d = - 4

= e^{2 x} e^{2 x} + e^{2 x} (- 4) + 6 e^{2 x} + 6 (- 4)

Apply minus-plus rules

+ (- a) = - a

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

Simplify

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

= e^{4 x} + 2 e^{2 x} - 24

\frac{1}{2} (- cos (x) + 1 = p (x))

2 (n^{2} + 1) \frac{d m}{d n} + 6 nm

- \frac{4}{7 ( x ^{2} + 2 h x + h ^{2} )}

\frac{20 ( x ^{2} + 256 )}{x}

(x - 3) (\cdot + 2)

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