Write (-5 + 8i) + (-5 − 8i) as a complex number in standard form.

a) 10 − 13i
b) -10 + 13i
c)-10 + i
d)-10

Option: D is the correct answer.

                D) -10

We are given a expression as:

                   (-5 + 8i) + (-5 − 8i)

i.e. the expression is a addition of two complex numbers.

Hence, we combine the like terms in the given expression.

i.e. we write the expression as:

(-5 + 8i) + (-5 − 8i)= (-5-5)+(8i-8i)

 (-5 + 8i) + (-5 − 8i)= -10+0.i

  (-5 + 8i) + (-5 − 8i) = -10

Hence, the complex number is represented in standard form as:

                           -10

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