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12 August, 10:32

Which of the following must be true for and expression to be a difference of two squares?

a. both coefficients are perfect squares.

b. there are only two terms.

c. both terms have negative coefficients.

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Answers (1)
  1. 12 August, 13:17
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    Let's say e=a^2-b^2 and take each affirmation:

    a. both coefficients are perfect squares.

    a could be equal to 2 which is not a perfect square

    b. there are only two terms - obviously yes

    c. both terms have negative coefficients - as we can see just b has a negative coefficient

    Final answer b. there are only two terms.
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