What is expand (6-3e^{-x})^2 ?

The solution to expand (6-3e^{-x})^2 is 36-36e^{-x}+9e^{-2x}

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expand (6-3e^{-x})^2

expand

(6 - 3 e^{- x})^{2}

36 - 36 e^{- x} + 9 e^{- 2 x}

Solution steps

(6 - 3 e^{- x})^{2}

Apply Perfect Square Formula:

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

a = 6, b = 3 e^{- x}

= 6^{2} - 2 \cdot 6 \cdot 3 e^{- x} + (3 e^{- x})^{2}

Simplify

6^{2} - 2 \cdot 6 \cdot 3 e^{- x} + (3 e^{- x})^{2} : 36 - 36 e^{- x} + 9 e^{- 2 x}

= 36 - 36 e^{- x} + 9 e^{- 2 x}

8 x^{3} y d x + (2 y^{4} - 9 x^{4}) d y

f (x + h, y - 1)

(4 x^{2} + 2 x - 30)^{\circ} (2 x - 5)

- \frac{x ( - a - m )}{y}

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

What is expand (6-3e^{-x})^2 ?
The solution to expand (6-3e^{-x})^2 is 36-36e^{-x}+9e^{-2x}