simplify (ni+2)^2

Solution

simplify

(ni + 2)^{2}

(- n^{2} + 4) + 4 ni

Solution steps

(ni + 2)^{2}

Apply Perfect Square Formula:

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

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

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

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

2 ni 2 = 4 ni

2^{2} = 4

= - n^{2} + 4 ni + 4

Rewrite in standard complex form:

(- n^{2} + 4) + 4 ni

= (- n^{2} + 4) + 4 ni

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