simplify (n+i)^2

Solution

simplify

(n + i)^{2}

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

Solution steps

(n + i)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(n + i)^{2} = n^{2} + 2 ni + i^{2}

= n^{2} + 2 ni + i^{2}

Apply imaginary number rule:

i^{2} = - 1

= n^{2} + 2 ni - 1

Rewrite in standard complex form:

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

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

(4 y + \frac{1}{6}) (4 y - \frac{1}{6})

0.05 (1 - \frac{4 , 0}{84000 , 0})

\frac{3678 ( z + 7189 )}{( z - 1 ) ( z - 3680 )}