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Victoria was given the expression 4๐‘ฅโˆ’5๐‘ฅ2+9โˆ’2๐‘ฅ+10๐‘ฅ24xโˆ’5x 2 +9โˆ’2x+10x 2 and asked to simplify it. How can she simplify the expression?A.5๐‘ฅ2+2๐‘ฅ+95x 2 +2x+9B.10๐‘ฅ2+6๐‘ฅ+910x 2 +6x+9C.โˆ’5๐‘ฅ2โˆ’2๐‘ฅ+9โˆ’5x 2 โˆ’2x+9D.15๐‘ฅ2+6๐‘ฅ+915x 2 +6x+9

Question

Victoria was given the expression 4๐‘ฅโˆ’5๐‘ฅ2+9โˆ’2๐‘ฅ+10๐‘ฅ24xโˆ’5x 2 +9โˆ’2x+10x 2 and asked to simplify it. How can she simplify the expression?A.5๐‘ฅ2+2๐‘ฅ+95x 2 +2x+9B.10๐‘ฅ2+6๐‘ฅ+910x 2 +6x+9C.โˆ’5๐‘ฅ2โˆ’2๐‘ฅ+9โˆ’5x 2 โˆ’2x+9D.15๐‘ฅ2+6๐‘ฅ+915x 2 +6x+9

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Solution

To simplify the expression, Victoria should first combine like terms. The like terms in the expression are the terms that have the same variable and exponent.

The expression is: 4x - 5x^2 + 9 - 2x + 10x^2

First, combine the x^2 terms: -5x^2 + 10x^2 = 5x^2 Next, combine the x terms: 4x - 2x = 2x The constant term is 9.

So, the simplified expression is 5x^2 + 2x + 9.

Therefore, the correct answer is A. 5x^2 + 2x + 9.

This problem has been solved

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