Question which-
Which of the following is an equivalent form of ?
Which of the following is an equivalent form of ?
Hard-difficulty · SAT Math · Equivalent Expressions — Factoring trinomials and special products. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice C is correct. The first expression can be rewritten as
. Applying the distributive property to this product yields
. This difference can be rewritten as
. Distributing the factor of
through the second expression yields
. Regrouping like terms, the expression becomes
. Combining like terms yields
.
Choices A, B, and D are incorrect and likely result from errors made when applying the distributive property or combining the resulting like terms.
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