Question 5 • Common Core Algebra I B-IC
A difference of squares comes from multiplying conjugates: (a − b)(a + b) = a² − b². Choice B gives (w − 2.5)(w + 2.5) = w² − 6.25, and choice D gives (−4v − 9)(−4v + 9) = 16v² − 81. The other products are not conjugate pairs; for example, choice A multiplies a binomial by its negative, producing a negative square.
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