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Simplify the following expression:3[(๐‘ฅ3โˆ’7๐‘ฅ+1)โˆ’(๐‘ฅ+4)]3[(x 3 โˆ’7x+1)โˆ’(x+4)]A.3๐‘ฅ3โˆ’5๐‘ฅโˆ’63x 3 โˆ’5xโˆ’6B.๐‘ฅ3โˆ’8๐‘ฅโˆ’3x 3 โˆ’8xโˆ’3C.3๐‘ฅ3โˆ’6๐‘ฅ+153x 3 โˆ’6x+15D.3๐‘ฅ3โˆ’24๐‘ฅโˆ’93x 3 โˆ’24xโˆ’9SUBMITarrow_backPREVIOUS

Question

Simplify the following expression:3[(๐‘ฅ3โˆ’7๐‘ฅ+1)โˆ’(๐‘ฅ+4)]3[(x 3 โˆ’7x+1)โˆ’(x+4)]A.3๐‘ฅ3โˆ’5๐‘ฅโˆ’63x 3 โˆ’5xโˆ’6B.๐‘ฅ3โˆ’8๐‘ฅโˆ’3x 3 โˆ’8xโˆ’3C.3๐‘ฅ3โˆ’6๐‘ฅ+153x 3 โˆ’6x+15D.3๐‘ฅ3โˆ’24๐‘ฅโˆ’93x 3 โˆ’24xโˆ’9SUBMITarrow_backPREVIOUS

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Solution

The expression given is: 3[(๐‘ฅ^3โˆ’7๐‘ฅ+1)โˆ’(๐‘ฅ+4)]

Step 1: Simplify the expression inside the brackets

(๐‘ฅ^3โˆ’7๐‘ฅ+1)โˆ’(๐‘ฅ+4) = ๐‘ฅ^3โˆ’7๐‘ฅ+1โˆ’๐‘ฅโˆ’4 = ๐‘ฅ^3โˆ’8๐‘ฅโˆ’3

Step 2: Multiply the simplified expression by 3

3*(๐‘ฅ^3โˆ’8๐‘ฅโˆ’3) = 3๐‘ฅ^3โˆ’24๐‘ฅโˆ’9

So, the simplified expression is 3๐‘ฅ^3โˆ’24๐‘ฅโˆ’9. The correct answer is D.3๐‘ฅ^3โˆ’24๐‘ฅโˆ’9.

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