Question

(6-2i)^2 which is the coefficient of i ?

Answer 1

Option A: -24 is the coefficient of i

Explanation:

The expression is $(6-2 i)^{2}$

To determine the coefficient of i, first we shall find the square of the binomial for the expression $(6-2 i)^{2}$

The formula to find the square of the binomial for this expression is given by

$(a-b)^{2}=a^{2}-2 a b+b^{2}$

where $a=6$ and $b=2i$

Substituting this value and expanding, we get,

$(6-2 i)^{2}=6^{2} -2(6)(2i)+(2i)^{2}$

Simplifying the terms, we have,

$(6-2 i)^{2}=36-24i-4$

Thus, from the above expression the coefficient of i is determined as -24.

Hence, Option A is the correct answer.