What is expand (e^{2x}-1)(e^{2y}+1) ?

The solution to expand (e^{2x}-1)(e^{2y}+1) is e^{2x+2y}+e^{2x}-e^{2y}-1

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expand (e^{2x}-1)(e^{2y}+1)

expand

(e^{2 x} - 1) (e^{2 y} + 1)

e^{2 x + 2 y} + e^{2 x} - e^{2 y} - 1

Solution steps

(e^{2 x} - 1) (e^{2 y} + 1)

Apply FOIL method:

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

a = e^{2 x}, b = - 1, c = e^{2 y}, d = 1

= e^{2 x} e^{2 y} + e^{2 x} \cdot 1 + (- 1) e^{2 y} + (- 1) \cdot 1

Apply minus-plus rules

+ (- a) = - a

= e^{2 x} e^{2 y} + 1 \cdot e^{2 x} - 1 \cdot e^{2 y} - 1 \cdot 1

Simplify

e^{2 x} e^{2 y} + 1 \cdot e^{2 x} - 1 \cdot e^{2 y} - 1 \cdot 1 : e^{2 x + 2 y} + e^{2 x} - e^{2 y} - 1

= e^{2 x + 2 y} + e^{2 x} - e^{2 y} - 1

ro t (2 x y, x^{2} + z^{2}, 2 yz)

\frac{x}{y ( x y + y ) ( x - 1 )}

6 (- 4 x + 6 y = - 2)

e^{(1.5 t - 9)} u (- 0.5 t + 3)

3 x^{2} e^{3 x} + 2 x (e^{3 x} - 4)

What is expand (e^{2x}-1)(e^{2y}+1) ?
The solution to expand (e^{2x}-1)(e^{2y}+1) is e^{2x+2y}+e^{2x}-e^{2y}-1