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

The solution to expand (ce^{2x}-1)*(1+ce^{2x}) is c^2e^{4x}-1

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

expand

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

c^{2} e^{4 x} - 1

Solution steps

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

Apply Difference of Two Squares Formula:

(a - b) (a + b) = a^{2} - b^{2}

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

= (c e^{2 x})^{2} - 1^{2}

Simplify

(c e^{2 x})^{2} - 1^{2} : c^{2} e^{4 x} - 1

= c^{2} e^{4 x} - 1

\frac{y + r}{y}

(1 - 2 x) \cdot x

lo g_{10} (4 x - 7)

a x b (a + a - b)

s im p i f y (1 - x) (1 - x) (3 - x)

What is expand (ce^{2x}-1)*(1+ce^{2x}) ?
The solution to expand (ce^{2x}-1)*(1+ce^{2x}) is c^2e^{4x}-1