Question which-
Which expression is equivalent to ?
Which expression is equivalent to 4 4 x - 5 - 1 x + 1 ?
Hard-difficulty · SAT Math · Equivalent Expressions — Simplifying polynomials. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice D is correct. The expression can be rewritten as . To add the two terms of this expression, the terms can be rewritten with a common denominator. Since , the expression can be rewritten as . Since , the expression can be rewritten as . Therefore, the expression can be rewritten as , which is equivalent to . Applying the distributive property to each term of the numerator yields , or . Adding like terms in the numerator yields .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
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