Which of the following must be true for an expression to be a difference of two squares?a. both coefficients are perfect squaresb. there are only two termsc. one term has a negative coefficient and one term has a positive coefficientA.a and cB.a, b, and cC.a and bD.b and cSUBMITarrow_backPREVIOUS
Question
Which of the following must be true for an expression to be a difference of two squares?a. both coefficients are perfect squaresb. there are only two termsc. one term has a negative coefficient and one term has a positive coefficientA.a and cB.a, b, and cC.a and bD.b and cSUBMITarrow_backPREVIOUS
Solution
The expression is a difference of two squares if it meets the following conditions:
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There are only two terms: This is necessary because we are talking about the difference of two squares. The expression is subtracting one square term from another.
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One term has a negative coefficient and one term has a positive coefficient: This is also necessary because we are talking about a difference. One term is subtracted from the other.
The coefficients themselves do not need to be perfect squares. The terms are squares, but the coefficients can be any real numbers.
So, the correct answer is D. b and c.
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