The expression (-2 - 2i)(-4 - 3i)(7 + 8i) simplifies to -98 + 114i.
The given expression is (-2 - 2i)(-4 - 3i)(7 + 8i).
We can use the properties of complex numbers and perform the multiplication step by step.
Multiply the first two complex numbers:
(-2 - 2i)(-4 - 3i) = 8 + 6i + 8i + 6i²
Simplify the product of the first two complex numbers:
Note that i² is defined as -1, so the expression becomes:
8 + 6i + 8i - 6 = 2 + 14i
Now (2 + 14i)(7 + 8i) = 14 + 16i + 98i + 112i²
Simplify the product of the second and third complex numbers:
Using the definition of i², we have:
14 + 16i + 98i - 112 = -98 + (16i + 98i)
Combine like terms:
-98 + (16i + 98i) = -98 + 114i
Therefore, the product of (-2 - 2i)(-4 - 3i)(7 + 8i) simplifies to -98 + 114i.
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( − 2 − 2 i ) ( − 4 − 3 i ) ( 7 + 8 i ) = ( − 2 − 2 i ) ( − 28 − 32 i − 21 i + 24 ) = ( − 2 − 2 i ) ( − 4 − 53 i ) = 8 + 106 i + 8 i − 106 = − 98 + 114 i
The product of the complex numbers ( − 2 − 2 i ) ( − 4 − 3 i ) ( 7 + 8 i ) simplifies to − 98 + 114 i through step-by-step multiplication. First, the first two complex numbers are multiplied to get 2 + 14 i , which is then multiplied by the third to arrive at the final result. The calculations utilize properties of complex numbers, particularly the fact that i 2 = − 1 .
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Jawaban:Jawabannya adalah C. Yugoslavia bersatu dengan Indonesia membentuk Gerakan Non Blok ✅Penjelasan:Gerakan Non-Blok belum ada pada saat Agresi Militer Belanda II (1948). Gerakan Non-Blok baru dibentuk tahun 1961 di Beograd, Yugoslavia, jauh setelah Indonesia merdeka. Jadi ini bukan reaksi langsung terhadap Agresi Militer Belanda II.