Question

Let P = 5 - 21i and Q = -3 + 7i. Write the expression in the form a + bi;

A. 2 - 14i

B. 2 - 28i

C. 2 - 7i

D. -2 - 7i

Answer 1

The subtraction of Q from P is (5 - 21i) - (-3 + 7i), which simplifies to 8 - 28i. So, the answer is option B: 2 - 28i.

Step-by-step explanation:

To find the expression for P - Q, we subtract complex number Q from P. Given numbers are P = (5 - 21i) and Q = (-3 + 7i).

The subtraction of Q from P is performed as follows:

P - Q = (5 - 21i) - (-3 + 7i)

= 5 - 21i + 3 - 7i (Subtracting -3 turns to adding +3, and subtracting +7i turns to adding -7i)

= 5 + 3 - 21i - 7i

= 8 - 28i (Combine like terms)

Thus, the expression in the form a + bi is 8 - 28i, which corresponds to option B.