Question

select the correct answer. what is the standard form of this complex number? (24 - 10i) - (43 + 18i) a. -19 - 28i b. -19 + 18i c. 67 + 28i d. -19 + 8i

Explanation:

Step1: Distribute the subtraction

To simplify \((24 - 10i) - (43 + 18i)\), we distribute the negative sign to the terms inside the second parentheses:
\(24 - 10i - 43 - 18i\)

Step2: Combine the real parts

The real parts are \(24\) and \(-43\). Combining them:
\(24 - 43 = -19\)

Step3: Combine the imaginary parts

The imaginary parts are \(-10i\) and \(-18i\). Combining them:
\(-10i - 18i = -28i\)

Step4: Combine the results

Combining the real and imaginary parts, we get:
\(-19 - 28i\)

Answer:

A. -19 - 28i