What is expand (1+0.003e^{0.8t})^2 ?

The solution to expand (1+0.003e^{0.8t})^2 is 1+0.006e^{0.8t}+0.000009e^{1.6t}

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expand (1+0.003e^{0.8t})^2

expand

(1 + 0.003 e^{0.8 t})^{2}

1 + 0.006 e^{0.8 t} + 0.000009 e^{1.6 t}

Solution steps

(1 + 0.003 e^{0.8 t})^{2}

Apply Perfect Square Formula:

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

a = 1, b = 0.003 e^{0.8 t}

= 1^{2} + 2 \cdot 1 \cdot 0.003 e^{0.8 t} + (0.003 e^{0.8 t})^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot 0.003 e^{0.8 t} + (0.003 e^{0.8 t})^{2} : 1 + 0.006 e^{0.8 t} + 0.000009 e^{1.6 t}

= 1 + 0.006 e^{0.8 t} + 0.000009 e^{1.6 t}

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What is expand (1+0.003e^{0.8t})^2 ?
The solution to expand (1+0.003e^{0.8t})^2 is 1+0.006e^{0.8t}+0.000009e^{1.6t}