What is expand (sqrt(n+2i)-sqrt(n+i))sqrt(n) ?

The solution to expand (sqrt(n+2i)-sqrt(n+i))sqrt(n) is sqrt(n^2+2in)-sqrt(n^2+in)

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expand (sqrt(n+2i)-sqrt(n+i))sqrt(n)

expand

(n + 2 i - n + i) n

n^{2} + 2 in - n^{2} + in

Solution steps

(n + 2 i - n + i) n

= n (n + 2 i - n + i)

Apply the distributive law:

a (b - c) = ab - a c

a = n, b = n + 2 i, c = n + i

= n n + 2 i - n n + i

Simplify

n n + 2 i - n n + i : n^{2} + 2 in - n^{2} + in

= n^{2} + 2 in - n^{2} + in

3 (10 - 2)

(e - 4) (e - 2) (e + 8)

a (1 - e^{- b x})

(x^{2} + 2 x - 5)^{7}

(1 + \frac{s}{100000}) (1 + \frac{s}{98814})

What is expand (sqrt(n+2i)-sqrt(n+i))sqrt(n) ?
The solution to expand (sqrt(n+2i)-sqrt(n+i))sqrt(n) is sqrt(n^2+2in)-sqrt(n^2+in)