Simplify the following expression:3[(๐ฅ3โ7๐ฅ+1)โ(๐ฅ+4)]3[(x 3 โ7x+1)โ(x+4)]A.3๐ฅ3โ5๐ฅโ63x 3 โ5xโ6B.๐ฅ3โ8๐ฅโ3x 3 โ8xโ3C.3๐ฅ3โ6๐ฅ+153x 3 โ6x+15D.3๐ฅ3โ24๐ฅโ93x 3 โ24xโ9SUBMITarrow_backPREVIOUS
Question
Simplify the following expression:3[(๐ฅ3โ7๐ฅ+1)โ(๐ฅ+4)]3[(x 3 โ7x+1)โ(x+4)]A.3๐ฅ3โ5๐ฅโ63x 3 โ5xโ6B.๐ฅ3โ8๐ฅโ3x 3 โ8xโ3C.3๐ฅ3โ6๐ฅ+153x 3 โ6x+15D.3๐ฅ3โ24๐ฅโ93x 3 โ24xโ9SUBMITarrow_backPREVIOUS
Solution
The expression given is: 3[(๐ฅ^3โ7๐ฅ+1)โ(๐ฅ+4)]
Step 1: Simplify the expression inside the brackets
(๐ฅ^3โ7๐ฅ+1)โ(๐ฅ+4) = ๐ฅ^3โ7๐ฅ+1โ๐ฅโ4 = ๐ฅ^3โ8๐ฅโ3
Step 2: Multiply the simplified expression by 3
3*(๐ฅ^3โ8๐ฅโ3) = 3๐ฅ^3โ24๐ฅโ9
So, the simplified expression is 3๐ฅ^3โ24๐ฅโ9. The correct answer is D.3๐ฅ^3โ24๐ฅโ9.
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