What is expand (e^{-6t}+4)^2 ?

The solution to expand (e^{-6t}+4)^2 is e^{-12t}+8e^{-6t}+16

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expand (e^{-6t}+4)^2

expand

(e^{- 6 t} + 4)^{2}

e^{- 12 t} + 8 e^{- 6 t} + 16

Solution steps

(e^{- 6 t} + 4)^{2}

Apply Perfect Square Formula:

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

a = e^{- 6 t}, b = 4

= (e^{- 6 t})^{2} + 2 e^{- 6 t} \cdot 4 + 4^{2}

Simplify

(e^{- 6 t})^{2} + 2 e^{- 6 t} \cdot 4 + 4^{2} : e^{- 12 t} + 8 e^{- 6 t} + 16

= e^{- 12 t} + 8 e^{- 6 t} + 16

(3 x = 7,) (2 x = y - 2)

A (- 10, 21) B (8, - 6)

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

x (- 1, 3) y (3, 0) z (- 1, - 2)

\frac{1}{( 7 + x ) ^{8}}

What is expand (e^{-6t}+4)^2 ?
The solution to expand (e^{-6t}+4)^2 is e^{-12t}+8e^{-6t}+16