What is expand [2+sqrt(2)](sqrt(2)+1)^k ?

The solution to expand [2+sqrt(2)](sqrt(2)+1)^k is 2(sqrt(2)+1)^k+sqrt(2)(sqrt(2)+1)^k

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expand [2+sqrt(2)](sqrt(2)+1)^k

expand

[2 + 2] (2 + 1)^{k}

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

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

- \frac{6 ( s + 1 )}{( s ^{2} + 5 s + 6 )}

(2, - 2) y (5, - 3)

(- 2 x)^{\circ - 1} (x + y)

\frac{4}{( 3 - x ) ^{3}}

What is expand [2+sqrt(2)](sqrt(2)+1)^k ?
The solution to expand [2+sqrt(2)](sqrt(2)+1)^k is 2(sqrt(2)+1)^k+sqrt(2)(sqrt(2)+1)^k