What is expand (4^x+e^x)^2 ?

The solution to expand (4^x+e^x)^2 is 16^x+2^{1+2x}e^x+e^{2x}

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expand (4^x+e^x)^2

expand

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

1 6^{x} + 2^{1 + 2 x} e^{x} + e^{2 x}

Solution steps

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

Apply Perfect Square Formula:

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

a = 4^{x}, b = e^{x}

= (4^{x})^{2} + 2 \cdot 4^{x} e^{x} + (e^{x})^{2}

Simplify

(4^{x})^{2} + 2 \cdot 4^{x} e^{x} + (e^{x})^{2} : 1 6^{x} + 2^{1 + 2 x} e^{x} + e^{2 x}

= 1 6^{x} + 2^{1 + 2 x} e^{x} + e^{2 x}

26 - 4 x (x = - 3)

\frac{( x ^{3} + 1 ) ^{2}}{x ^{3}}

a c - b d + i (a d + b c)

\frac{2 - ( 1 + k ) i}{1 - ki}

\frac{( x y ^{2} )}{z ^{4}}

What is expand (4^x+e^x)^2 ?
The solution to expand (4^x+e^x)^2 is 16^x+2^{1+2x}e^x+e^{2x}