Simplify. Write answers in the form a + bi, where a and b are real numbers. (8 + 2i)(4 - 9i)?

Question

Simplify. Write answers in the form a + bi, where a and b are real numbers.
(8 + 2i)(4 - 9i)
a =
b =

Simplify. Write answers in the form a + bi, where a and b are real numbers.
(3 - 4i)(3 + 4i)
a =
b =

Simplify. Write answers in the form a + bi, where a and b are real numbers.
(-3 + 4i)2
a =
b =

Simplify. Write answers in the form a + bi, where a and b are real numbers.
-1/6-9i
a =
b =

Answer 1

1) a = 50 ... b = -64
2) a = 25 ... b = 0
3) a = -6 ... b = 8

4) there are 2 posibilities

if the question is -1/6 - 9i --> a = -1/6 ... b = -9

if the question is -1/(6-9i) --> a = -6/45 = -2/15 ...b = -9/45 = -1/5

Answer 2

This is not the homework section. Go to education for that. You muliply these by use of FOIL. You will have 1 constant, two terms in i and a term in i^2. i^2 is -1, so that term will also be a constant. The sum of the two constant terms will be a; the sum of the 2 coefficients of the i terms will be b.

Answer 3

-8/(9-5i) cases (9+5i)/(9+5i) = (-72 -40i)/ eighty one+25 = -72/106 -40i/106 = -36/fifty 3 - 20i/fifty 3 for that reason a = -36/fifty 3 and b = -20/fifty 3 Have a great night and a outstanding weekend. thank you, Eds .

Answer 4

You just need to distribute, then you'll get number plus number plus something i. A is the numbers added, b is the i part.