79062
AssignmentMultiple Choice

Multiplying Polynomials and Simplifying Expressions

Question 79062 • Adv. Algebra II S2 Original

What is the product of 6x – y and 2x – y + 2?

Answer
A
8x2 – 4xy + 12x + y2 – 2y
B
12x2 – 8xy + 12x + y2 – 2y
C
8x2 + 4xy + 4x + y2 – 2y
D
12x2 + 8xy + 4x + y2 + 2y

Explanation

Distribute each term in 6x − y across 2x − y + 2: 6x(2x − y + 2) − y(2x − y + 2). Combining the products gives 12x² − 6xy + 12x − 2xy + y² − 2y = 12x² − 8xy + 12x + y² − 2y. This matches choice B.

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