Simplify (3-2i)(4+3i)
show work please, I need help with this :

18+i

Step-by-step explanation:

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

FOIL

first: 3*4 = 12

outer: 3*3i =9i

inner: -2i*4 = -8i

last: -2i*3i = -6i^2 = -6(-1) = 6

Add them together = 12 +9i-8i +6

                                =18 +i

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

12r - 8 - 12

you have to combine like terms. below i have bolded the like terms:

12r - 8 - 12

together it combines to:

12r - 20

hope this !