Question 36601: Express the following as a complex number in the form a + ib:
(3 - i)*(5 + 12i)
* = divided symbol Answer by tran3209(100) (Show Source):
You can put this solution on YOUR website! (3- i/5+12i) (5-12i/5-12i)
Formula:(A+B)(A-B) = A^2 - B^2
25-144i^2 * replace i^2 by -1
25- [(144)(-1)]
25+ 144
169 <===== this is the denomenator
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now we will find the numerator
(3-i) (5-12i)
15-36i-5i+12i^2 <===== replace i^2 by -1
15-41i-12
3-41i
now we will put the numerator and denomenator together
3-41i/169
or
3/169 - 4i/169
(