What is expand ((5^x)+(5^-x))^2 ?

The solution to expand ((5^x)+(5^-x))^2 is 25^x+2*5^xx+(x^2)/(25)

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expand ((5^x)+(5^-x))^2

expand

((5^{x}) + (5^{-} x))^{2}

2 5^{x} + 2 \cdot 5^{x} x + \frac{x ^{2}}{25}

Solution steps

((5^{x}) + (5^{-} x))^{2}

Remove parentheses:

(a) = a

= (5^{x} + 5^{-} x)^{2}

Apply Perfect Square Formula:

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

a = 5^{x}, b = 5^{-} x

= (5^{x})^{2} + 2 \cdot 5^{x} \cdot 5^{-} x + (5^{-} x)^{2}

Simplify

(5^{x})^{2} + 2 \cdot 5^{x} \cdot 5^{-} x + (5^{-} x)^{2} : 2 5^{x} + 2 \cdot 5^{x} x + \frac{x ^{2}}{25}

= 2 5^{x} + 2 \cdot 5^{x} x + \frac{x ^{2}}{25}

\frac{10}{( s ( s + 1 ) )} - 10 e^{- s}

(- a + b - c) (- d - e - f)

\frac{( 9 - x ^{2} ) ^{3}}{3}

(\frac{- 56}{7} bi g)^{2} (7 - 56) 2

x e^{2} (2 x - 3) + 5

What is expand ((5^x)+(5^-x))^2 ?
The solution to expand ((5^x)+(5^-x))^2 is 25^x+2*5^xx+(x^2)/(25)