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

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

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

expand

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

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

Solution steps

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

Apply FOIL method:

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

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

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

Apply minus-plus rules

+ (- a) = - a

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

Simplify

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

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

\frac{2 x ^{2} - 8 x + 5}{( x - 2 ) ^{2}}

f (x) (x = a x^{2} + b x + c)

\frac{( 1 )}{( s + 1 ) ^{2}}

(3 x - 5 y = 5,) (4 x + y = - 1)

\frac{5 π ( 2 + 2 )}{32}

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