Question

What is the standard form of (7-5i)(2+3i)?

A.-29+11i
B.29+11i
C. 11-29i
D.-11+29i

Answer 1

it might be the last one but I don't know

Answer 2

B) 29 + 11i.

Explanation:

Given : (7-5i)(2+3i).

To find : What is the standard form .

Solution : We have given (7-5i)(2+3i).

Distributes 7 over (2+3i) and 5i over (2+3i).

7 (2+3i) - 5i (2+3i).

14 + 21i - 10 i - 15 i².

Combine like terms.

i² = -1.

14 + 21i -10i - 15(-1).

14 + 11i + 15.

14 + 15 + 11 i.

29 + 11i.

Therefore, B) 29 + 11i.