Question

me ajudem por favor!
considere os numeros complexos z=3+2i e w=-4-5i, determine: a)z + w b)z - w c)z . w

Answer 1

Ola Tauanet

z = 3 + 2i
w = -4 - 5i

a)

z + w = 3 -  4 + 2i - 5i = -1 - 3i

b)

z - w = 3 + 4 + 2i + 5i = 7 + 7i 

c)

z*w = -(3 + 2i)*(4 + 5i) = -(12 + 15i + 8i +10i²)
z*w = -12 - 23i + 10 = -2 - 23i

Answer 2

z=3=2i e w=-4-5i, determine: a)z + w b)z - w  c) z.w

a) z+w= 3+2i +(-4-5i) ==> 3+2i-4-5i==> - 1 - i


b) z-w= 3+2i -(-4-5i) ==> 3+2i+4+5i==> 7 +7i  ou 7( 1 + i )

c) z.w= (3+2i)(-4-5i) ==> -12 - 15i -8i - 10i²

==> -12 -10(-1) - 15i-8i ==> -12+10- 23i ==> - 2 - 23i