What is expand (e^{5x}+5)^2 ?

The solution to expand (e^{5x}+5)^2 is e^{10x}+10e^{5x}+25

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expand (e^{5x}+5)^2

expand

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

e^{10 x} + 10 e^{5 x} + 25

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(e^{5 x})^{2} + 2 e^{5 x} \cdot 5 + 5^{2} : e^{10 x} + 10 e^{5 x} + 25

= e^{10 x} + 10 e^{5 x} + 25

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What is expand (e^{5x}+5)^2 ?
The solution to expand (e^{5x}+5)^2 is e^{10x}+10e^{5x}+25