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

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

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

expand

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

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

Solution steps

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

= (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{( - 1 + r ^{3} ) ^{2}}{r ^{3}}

(5 x^{2} - 11 y^{7})^{25}

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\frac{( a + b ) ^{2}}{a ^{2} + b ^{2}}

(3 - x^{2}) \cdot e^{x}

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