Victoria was given the expression 4๐ฅโ5๐ฅ2+9โ2๐ฅ+10๐ฅ24xโ5x 2 +9โ2x+10x 2 and asked to simplify it. How can she simplify the expression?A.5๐ฅ2+2๐ฅ+95x 2 +2x+9B.10๐ฅ2+6๐ฅ+910x 2 +6x+9C.โ5๐ฅ2โ2๐ฅ+9โ5x 2 โ2x+9D.15๐ฅ2+6๐ฅ+915x 2 +6x+9
Question
Victoria was given the expression 4๐ฅโ5๐ฅ2+9โ2๐ฅ+10๐ฅ24xโ5x 2 +9โ2x+10x 2 and asked to simplify it. How can she simplify the expression?A.5๐ฅ2+2๐ฅ+95x 2 +2x+9B.10๐ฅ2+6๐ฅ+910x 2 +6x+9C.โ5๐ฅ2โ2๐ฅ+9โ5x 2 โ2x+9D.15๐ฅ2+6๐ฅ+915x 2 +6x+9
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.
Similar Questions
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