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

The solution to expand (e^{2x}+5)^2 is e^{4x}+10e^{2x}+25

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

expand

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

e^{4 x} + 10 e^{2 x} + 25

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{2 x}, b = 5

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

Simplify

(e^{2 x})^{2} + 2 e^{2 x} \cdot 5 + 5^{2} : e^{4 x} + 10 e^{2 x} + 25

= e^{4 x} + 10 e^{2 x} + 25

A (8, 3, - 2) B (4, - 1, 5) C (- 2, 5, 6)

- \frac{2 u ( 18 y + 12 x )}{v ^{3}}

\frac{s + 9}{( s + 1 ) ( s ^{2} + 2 s + 2 )}

\frac{24}{( x - 3 ) ^{5}}

\frac{( 8 ( a + h ) - 1 )}{( 9 ( a + h ) + 4 )}

What is expand (e^{2x}+5)^2 ?
The solution to expand (e^{2x}+5)^2 is e^{4x}+10e^{2x}+25