What is expand (e^{-y}+2)^2 ?

The solution to expand (e^{-y}+2)^2 is e^{-2y}+4e^{-y}+4

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expand (e^{-y}+2)^2

expand

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

e^{- 2 y} + 4 e^{- y} + 4

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{- y}, b = 2

= (e^{- y})^{2} + 2 e^{- y} \cdot 2 + 2^{2}

Simplify

(e^{- y})^{2} + 2 e^{- y} \cdot 2 + 2^{2} : e^{- 2 y} + 4 e^{- y} + 4

= e^{- 2 y} + 4 e^{- y} + 4

\frac{2 ^{2 x + 2}}{( 4 ^{x} + 1 ) ^{2}}

(1 - 7) + (7 - 7)

\frac{( s + 3 )}{( s + 2.5 ) ( s + 4 ) ^{2}}

\frac{( s + 1 ) ( s - 2 )}{( s + 3 )}

\frac{6 x ^{2} + 41 x - 17}{( x + 2 ) ( x + 8 ) ( x + 5 )}

What is expand (e^{-y}+2)^2 ?
The solution to expand (e^{-y}+2)^2 is e^{-2y}+4e^{-y}+4