SOLUTION: simplify 4-6i/4+6i and express in the form of a + bi

Algebra.Com
Question 63536: simplify 4-6i/4+6i and express in the form of a + bi
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
simplify 4-6i/4+6i and express in the form of a + bi
-------------
4-6i/4+6i
Multiply numerator and denominator by 4-6i to get:
(4-6i)^2 /(4+36)
Use FOIL to get:
=(16-36-48i)/(40)
=(-20-48i)/40
= (-1/2) - (6/5)i
Cheers,
Stan H.

RELATED QUESTIONS

Simplify the following quotient of complex numbers into the form a+bi.... (answered by Tatiana_Stebko)
Simplify the following quotient of complex numbers into the form a + bi.... (answered by stanbon)
write (4+6i)-(5+3i) in a+bi... (answered by nyc_function)
Simplify and write the complex number in standard form. (9 + 6i)(4 −... (answered by ikleyn)
Divide and express the results in standard form. Type answer in the form a plus bi 6i... (answered by josgarithmetic)
Perform indicated operation and simplify. Write each answer in form of a+bi 1.... (answered by jim_thompson5910)
Express in a+bi form... (answered by ankor@dixie-net.com,stanbon)
please help me simplify this expression into a+bi form 5+6i/4-2i (answered by jim_thompson5910)
8/ (3+6i) in a+bi... (answered by stanbon)