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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

\frac{2 ( x - 4 ) ( x + 3 )}{( x + 5 ) ( x - 2 )}

e (x + y)

2 (\frac{x + 7}{4})^{2}

\frac{( n \cdot ( n + 1 ) )}{2}

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

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