Question

Solve (3-4i) (6i+7) - (2-3i)

show solving steps-- picture is provided.

Answer 1

-7 i + 43

Explanation:

Simplify the following:

(-4 i + 3) (6 i + 7) - (-3 i + 2)

(3 - 4 i) (7 + 6 i) = 3×7 + 3×6 i - 4 i×7 - 4 i×6 i = 21 + 18 i - 28 i + 24 = 45 - 10 i:

(-10 i + 45) - (-3 i + 2)

-(-3 i + 2) = 3 i - 2:

45 - 10 i + (3 i - 2)

45 - 10 i - 2 + 3 i = (45 - 2) + (-10 i + 3 i) = 43 - 7 i:

Answer: -7 i + 43