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Which of the following is the correct difference of (5x2โˆ’9x+7)โˆ’(3x2โˆ’5x+6)(5๐‘ฅ2โˆ’9๐‘ฅ+7)โˆ’(3๐‘ฅ2โˆ’5๐‘ฅ+6)?Question 16Select one:2x2+4x+12๐‘ฅ2+4๐‘ฅ+12x2โˆ’4xโˆ’12๐‘ฅ2โˆ’4๐‘ฅโˆ’12x2โˆ’4x+12๐‘ฅ2โˆ’4๐‘ฅ+18x2+4x+18๐‘ฅ2+4๐‘ฅ+1Clear my choiceCheckQuestion 16

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Which of the following is the correct difference of (5x2โˆ’9x+7)โˆ’(3x2โˆ’5x+6)(5๐‘ฅ2โˆ’9๐‘ฅ+7)โˆ’(3๐‘ฅ2โˆ’5๐‘ฅ+6)?Question 16Select one:2x2+4x+12๐‘ฅ2+4๐‘ฅ+12x2โˆ’4xโˆ’12๐‘ฅ2โˆ’4๐‘ฅโˆ’12x2โˆ’4x+12๐‘ฅ2โˆ’4๐‘ฅ+18x2+4x+18๐‘ฅ2+4๐‘ฅ+1Clear my choiceCheckQuestion 16

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Solution

To find the difference between the two expressions, we subtract the second expression from the first.

The first expression is 5x^2 - 9x + 7 and the second expression is 3x^2 - 5x + 6.

Subtracting the second expression from the first gives:

(5x^2 - 9x + 7) - (3x^2 - 5x + 6) = 5x^2 - 3x^2 - 9x + 5x + 7 - 6 = 2x^2 - 4x + 1

So, the correct answer is 2x^2 - 4x + 1.

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