Si tenemos los números complejos t = 14 + 2i, u = -5 + 4i y w = -6 -3i entonces:
a) t + u - w = 15 + 9i
b) (w - t) + u = -25 -i
c) 8*u = -40 + 32i
d) (-3)*t = -42 - 6i
e) t.w = (14 + 2i)*(-6 -3i) = -78 - 52i
t = 14 + 2i
u = -5 + 4i
w = -6 -3i
Entonces:
a) t + u - w
= 14 + 2i -5 + 4i - (-6 -3i)
= 14 + 2i -5 + 4i + 6 + 3i
= 15 + 9i
b) (w - t) + u
= -6 -3i- ( 14 + 2i) -5 + 4i
= -6 -3i - 14 - 2i -5 + 4i
= -25 -i
c) 8*u
= 8*(-5 + 4i)
= -40 + 32i
d) (-3)*t
= (-3)*(14 + 2i)
= -42 - 6i
e) t.w
= (14 + 2i)*(-6 -3i)
= 14*(-6)- 14*3i -6*2i + 2i*(-3i)
= -84 - 42i-12i + 6
= -78 - 52i
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Verified answer
Si tenemos los números complejos t = 14 + 2i, u = -5 + 4i y w = -6 -3i entonces:
a) t + u - w = 15 + 9i
b) (w - t) + u = -25 -i
c) 8*u = -40 + 32i
d) (-3)*t = -42 - 6i
e) t.w = (14 + 2i)*(-6 -3i) = -78 - 52i
t = 14 + 2i
u = -5 + 4i
w = -6 -3i
Entonces:
a) t + u - w
= 14 + 2i -5 + 4i - (-6 -3i)
= 14 + 2i -5 + 4i + 6 + 3i
= 15 + 9i
b) (w - t) + u
= -6 -3i- ( 14 + 2i) -5 + 4i
= -6 -3i - 14 - 2i -5 + 4i
= -25 -i
c) 8*u
= 8*(-5 + 4i)
= -40 + 32i
d) (-3)*t
= (-3)*(14 + 2i)
= -42 - 6i
e) t.w
= (14 + 2i)*(-6 -3i)
= 14*(-6)- 14*3i -6*2i + 2i*(-3i)
= -84 - 42i-12i + 6
= -78 - 52i