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Simplify the following expression:(3๐‘–+4)โˆ’๐‘–+4(6+2๐‘–)(3i+4)โˆ’i+4(6+2i)A.14+4๐‘–14+4iB.28+10๐‘–28+10iC.27+11๐‘–27+11iD.14+8๐‘–14+8iSUBMITarrow_backPREVIOUS

Question

Simplify the following expression:(3๐‘–+4)โˆ’๐‘–+4(6+2๐‘–)(3i+4)โˆ’i+4(6+2i)A.14+4๐‘–14+4iB.28+10๐‘–28+10iC.27+11๐‘–27+11iD.14+8๐‘–14+8iSUBMITarrow_backPREVIOUS

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Solution

Sure, let's simplify the expression step by step:

  1. First, distribute the 4 in the term 4(6+2i): This gives us 24 + 8i.

  2. Now, let's combine all the like terms: (3i + 4) - i + (24 + 8i) = 3i - i + 8i + 4 + 24 = 10i + 28

So, the simplified form of the expression is 28 + 10i. Therefore, the correct answer is B. 28 + 10i.

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