What is expand (2+sqrt(2))(sqrt(2)+1)^x ?

The solution to expand (2+sqrt(2))(sqrt(2)+1)^x is 2(sqrt(2)+1)^x+sqrt(2)(sqrt(2)+1)^x

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expand (2+sqrt(2))(sqrt(2)+1)^x

expand

(2 + 2) (2 + 1)^{x}

2 (2 + 1)^{x} + 2 (2 + 1)^{x}

Solution steps

(2 + 2) (2 + 1)^{x}

Apply the distributive law:

a (b + c) = ab + a c

a = (2 + 1)^{x}, b = 2, c = 2

= (2 + 1)^{x} \cdot 2 + (2 + 1)^{x} 2

= 2 (2 + 1)^{x} + 2 (2 + 1)^{x}

\frac{1 - x}{( x - 2 ) ^{2}}

x (24 x y = y^{4} + 48)

\frac{x}{( y + 4 ) ( 2 x - 1 )}

y (y^{2} - 3 y - x = 0)

(- 2 x^{2} + 5 x) e^{4 x}

What is expand (2+sqrt(2))(sqrt(2)+1)^x ?
The solution to expand (2+sqrt(2))(sqrt(2)+1)^x is 2(sqrt(2)+1)^x+sqrt(2)(sqrt(2)+1)^x