What is expand (1+e^{4t})^2 ?

The solution to expand (1+e^{4t})^2 is 1+2e^{4t}+e^{8t}

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expand (1+e^{4t})^2

expand

(1 + e^{4 t})^{2}

1 + 2 e^{4 t} + e^{8 t}

Solution steps

(1 + e^{4 t})^{2}

Apply Perfect Square Formula:

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

a = 1, b = e^{4 t}

= 1^{2} + 2 \cdot 1 \cdot e^{4 t} + (e^{4 t})^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot e^{4 t} + (e^{4 t})^{2} : 1 + 2 e^{4 t} + e^{8 t}

= 1 + 2 e^{4 t} + e^{8 t}

- \frac{1}{2} (- x + 5) (x - 2)^{2}

(u - y^{5} + x^{5})^{5}

- 5 + 50 \cdot \frac{1}{s}

x (e^{2 y} - 2 e^{y}) + 8

4 (\frac{13 - 2 ( \frac{50}{24 - x} )}{6} + 3 = 5)

What is expand (1+e^{4t})^2 ?
The solution to expand (1+e^{4t})^2 is 1+2e^{4t}+e^{8t}