To simplify, first use the distributive property to multiply:
(2-4i)(3-6i)
= 2(3) + 2(-6i) - 4i(3) - 4i(-6i)
= 6 - 12i - 12i + 24i^2
Next, simplify by combining like terms:
= 6 - 12i - 12i + 24(-1) (since i^2 = -1)
= 6 - 12i - 12i - 24
= -18 - 24i
Therefore, the simplified form of (2-4i)(3-6i) is -18 - 24i.
simplify (2-4i)(3-6i)
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