12
AssignmentMultiple Choice

Multiplying Polynomials and Simplifying Expressions

Question 12 • (AG Q2) Keystone Algebra 1 Block: 26-27(DDiamond)

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) gives 12x² − 6xy + 12x, and −y(2x − y + 2) gives −2xy + y² − 2y. Combining the like terms, −6xy − 2xy = −8xy, so the product is 12x² − 8xy + 12x + y² − 2y. This matches choice B.

AI-written and checked against the verified answer.

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