Question which-

2.4 Equivalent Expressions - Simplifying polynomials
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Which expression is equivalent to 16 x 3 y 2 + 14 x y ?

A.

2 x y 8 x y + 7

B.

2 x y 8 x 2 y + 7

C.

14 x y 2 x 2 y + 1

D.

14 x y 8 x 2 y + 1

Which expression is equivalent to 16 x 3 y 2 + 14 x y ?

Medium-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 B is correct. Since 2 x y is a common factor of each term in the given expression, the expression can be rewritten as 2xy8x2y+7.

Choice A is incorrect. This expression is equivalent to 16x2y2+14xy.

Choice C is incorrect. This expression is equivalent to 28x3y2+14xy.

Choice D is incorrect. This expression is equivalent to 112x3y2+14xy.