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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

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

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

y^{'} (t) \cdot y^{'} (t)

7^{8} \cdot 7^{- 3}

20 - 50

\frac{x ^{3 a}}{x ^{a}}

2 x^{3} + 4

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