Question

which complex number is equivalent to this expression?
$7 + (9 + 27i) - 2(25 - 11i)$

a. $66 + 5i$

b. $-34 + 49i$

c. $66 - 49i$

d. $-34 + 5i$

Explanation:

Step1: Distribute the -2 term

$7 + (9 + 27i) - 50 + 22i$

Step2: Combine real number terms

$7 + 9 - 50 = -34$

Step3: Combine imaginary number terms

$27i + 22i = 49i$

Step4: Combine real and imaginary results

$-34 + 49i$

Answer:

B. -34 + 49i