Which of the following is the correct difference of (5x2โ9x+7)โ(3x2โ5x+6)(5๐ฅ2โ9๐ฅ+7)โ(3๐ฅ2โ5๐ฅ+6)?Question 16Select one:2x2+4x+12๐ฅ2+4๐ฅ+12x2โ4xโ12๐ฅ2โ4๐ฅโ12x2โ4x+12๐ฅ2โ4๐ฅ+18x2+4x+18๐ฅ2+4๐ฅ+1Clear my choiceCheckQuestion 16
Question
Which of the following is the correct difference of (5x2โ9x+7)โ(3x2โ5x+6)(5๐ฅ2โ9๐ฅ+7)โ(3๐ฅ2โ5๐ฅ+6)?Question 16Select one:2x2+4x+12๐ฅ2+4๐ฅ+12x2โ4xโ12๐ฅ2โ4๐ฅโ12x2โ4x+12๐ฅ2โ4๐ฅ+18x2+4x+18๐ฅ2+4๐ฅ+1Clear my choiceCheckQuestion 16
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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