What is expand (3-0.1e^x)^2 ?

The solution to expand (3-0.1e^x)^2 is 9-0.6e^x+0.01e^{2x}

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expand (3-0.1e^x)^2

expand

(3 - 0.1 e^{x})^{2}

9 - 0.6 e^{x} + 0.01 e^{2 x}

Solution steps

(3 - 0.1 e^{x})^{2}

Apply Perfect Square Formula:

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

a = 3, b = 0.1 e^{x}

= 3^{2} - 2 \cdot 3 \cdot 0.1 e^{x} + (0.1 e^{x})^{2}

Simplify

3^{2} - 2 \cdot 3 \cdot 0.1 e^{x} + (0.1 e^{x})^{2} : 9 - 0.6 e^{x} + 0.01 e^{2 x}

= 9 - 0.6 e^{x} + 0.01 e^{2 x}

\frac{2 x ^{2} - 15}{x ( x + 3 )}

(4 + e) 2

\frac{x ^{3} + 3}{2 x ^{3}}

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

\frac{d ^{2}}{d x ^{2}} ((y) (x^{3} - 3 x^{2} + 3 x))

What is expand (3-0.1e^x)^2 ?
The solution to expand (3-0.1e^x)^2 is 9-0.6e^x+0.01e^{2x}