complex numbers

(2+5i)/(2-3i)

(-11/13 + 16/13 i)

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

(-14/17 + 5/17 i)

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

(2/5 - 11/5 i)

(1+3i)(2+5i)

-13+11i

(-1+2i)(3-2i)

1+8i

(3-8i) - (2+4i)

1-12i

multiplying complex numbers

either use distributive property or F.O.I.L

how to find the complex conjugate

make the sign of the imaginary number opposite to what it is (ex: -3-3i ; -3+3i)

dividing complex numbers

1) find the complex conjugate of the denominator 2) multiply the numerator by the conjugate 3) multiple denominator by conjugate (when simplifying "i" should cancel out everytime) 4) put 2+3 together

(6-4i)(5-4i)

14-44i

4+11i (find the complex conjugate)

4-11i

(9+5i) + (-5-7i)

4-2i

5-i (find the complex conjugate)

5+i

6-2i (find the complex conjugate)

6+2i

(4-3i) - (-5-7i)

9+4i

adding and subtracting complex numbers

combine "like terms" (real w/ real) (imaginary w/ imaginary)