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Type the correct answer in each box.Consider the expressions shown below.A B Cโˆ’7โข๐‘ฅ2ย โˆ’ย 2โข๐‘ฅย +ย 57โข๐‘ฅ2ย โˆ’ย 2โข๐‘ฅย +ย 77โข๐‘ฅ2ย +ย 2โข๐‘ฅย โˆ’ย 5ย Complete each of the following statements with the letter that represents the expression.(3โข๐‘ฅ2ย โˆ’ย 6โข๐‘ฅย +ย 11)ย โˆ’ย (10โข๐‘ฅ2ย โˆ’ย 4โข๐‘ฅย +ย 6) is equivalent to expression .(โˆ’3โข๐‘ฅ2ย โˆ’ย 5โข๐‘ฅย โˆ’ย 3)ย โˆ’ย (โˆ’10โข๐‘ฅ2ย โˆ’ย 7โข๐‘ฅย +ย 2) is equivalent to expression .(12โข๐‘ฅ2ย +ย 6โข๐‘ฅย โˆ’ย 5)ย โˆ’ย (5โข๐‘ฅ2ย +ย 8โข๐‘ฅย โˆ’ย 12) is equivalent to expression .

Question

Type the correct answer in each box.Consider the expressions shown below.A B Cโˆ’7โข๐‘ฅ2ย โˆ’ย 2โข๐‘ฅย +ย 57โข๐‘ฅ2ย โˆ’ย 2โข๐‘ฅย +ย 77โข๐‘ฅ2ย +ย 2โข๐‘ฅย โˆ’ย 5ย Complete each of the following statements with the letter that represents the expression.(3โข๐‘ฅ2ย โˆ’ย 6โข๐‘ฅย +ย 11)ย โˆ’ย (10โข๐‘ฅ2ย โˆ’ย 4โข๐‘ฅย +ย 6) is equivalent to expression .(โˆ’3โข๐‘ฅ2ย โˆ’ย 5โข๐‘ฅย โˆ’ย 3)ย โˆ’ย (โˆ’10โข๐‘ฅ2ย โˆ’ย 7โข๐‘ฅย +ย 2) is equivalent to expression .(12โข๐‘ฅ2ย +ย 6โข๐‘ฅย โˆ’ย 5)ย โˆ’ย (5โข๐‘ฅ2ย +ย 8โข๐‘ฅย โˆ’ย 12) is equivalent to expression .

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Solution

To solve these problems, we need to subtract the terms in the second parentheses from the terms in the first parentheses.

  1. (3๐‘ฅ2 โˆ’ 6๐‘ฅ + 11) โˆ’ (10๐‘ฅ2 โˆ’ 4๐‘ฅ + 6) = 3๐‘ฅ2 - 10๐‘ฅ2 - 6๐‘ฅ + 4๐‘ฅ + 11 - 6 = -7๐‘ฅ2 - 2๐‘ฅ + 5 This is equivalent to expression A.

  2. (โˆ’3๐‘ฅ2 โˆ’ 5๐‘ฅ โˆ’ 3) โˆ’ (โˆ’10๐‘ฅ2 โˆ’ 7๐‘ฅ + 2) = -3๐‘ฅ2 + 10๐‘ฅ2 - 5๐‘ฅ + 7๐‘ฅ - 3 - 2 = 7๐‘ฅ2 + 2๐‘ฅ - 5 This is equivalent to expression C.

  3. (12๐‘ฅ2 + 6๐‘ฅ โˆ’ 5) โˆ’ (5๐‘ฅ2 + 8๐‘ฅ โˆ’ 12) = 12๐‘ฅ2 - 5๐‘ฅ2 + 6๐‘ฅ - 8๐‘ฅ - 5 + 12 = 7๐‘ฅ2 - 2๐‘ฅ + 7 This is equivalent to expression B.

This problem has been solved

Similar Questions

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