Question

Write in the Complex Form (a+bi)
(5+i)^2

Answer 1

@Nnesha

Answer 2

@bohotness

Answer 3

First, square the binomial.
Either use the square of a binomial formula, or use FOIL.
Then collect like terms and write it in a + bi form.

Answer 4

Here is the formula you need.

\((a + b)^2 = a^2 + 2ab + b^2\)

Answer 5

i got 25+10i+i^2 but idk how to write that in complex form

Answer 6

@mathstudent55

Answer 7

Hint : \[\large i^2 = -1\]

Answer 8

24+10i

Answer 9

thats it!

Answer 10

could i ask you one more question?

Answer 11

sure ask

Answer 12

i-6
---
i

Answer 13

First, divide \(i\) by each term in the numerator

Answer 14

i thought you would multiply it

Answer 15

\[\large \dfrac{i-6}{i} = \dfrac{i}{i} - \dfrac{6}{i} = 1 - \dfrac{6}{i}\]

Answer 16

you're right, now multiply \(i\) top and bottom of the second term

Answer 17

\[\large 1 - \dfrac{6\color{gray}{\times i}}{i\color{gray}{\times i}}\]

Answer 18

\[\large 1 - \dfrac{6i}{i^2}\]

Answer 19

\[\large 1 - \dfrac{6i}{-1}\]

Answer 20

\[\large 1 +6i\]

Answer 21

thank you!

Answer 22

just so you know you may multiply the conjugate top and bottom of the given expression directly as well..