2024 December(H31) Math Question 36
Number Types & Properties
- Complex Number
Multiply the complex numbers using FOIL:
(9i−2)(3−5i)(9i - 2)(3 - 5i)(9i−2)(3−5i)
=(9i)(3)+(9i)(−5i)+(−2)(3)+(−2)(−5i)= (9i)(3) + (9i)(-5i) + (-2)(3) + (-2)(-5i)=(9i)(3)+(9i)(−5i)+(−2)(3)+(−2)(−5i)
=27i−45i2−6+10i= 27i - 45i^2 - 6 + 10i=27i−45i2−6+10i
Since i2=−1i^2 = -1i2=−1:
=27i−45(−1)−6+10i= 27i - 45(-1) - 6 + 10i=27i−45(−1)−6+10i
=27i+45−6+10i= 27i + 45 - 6 + 10i=27i+45−6+10i
=39+37i= 39 + 37i=39+37i
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