Multiply Using the Rule for the Product of the Sum $$( 12 x - 11 y + 3 ) ( 12 x - 11 y - 3 )$$

question 125

Multiple Choice

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers.
- $$( 12 x - 11 y + 3 ) ( 12 x - 11 y - 3 )$$

• A) \(24 x ^ { 2 } + 22 y ^ { 2 } - 6\)
• B) \(12 x ^ { 2 } - 132 y ^ { 2 } + 11 y ^ { 2 } - 3\)
• C) \(144 x ^ { 2 } - 264 x y + 121 y ^ { 2 } - 9\)
• D) \(144 x ^ { 2 } + 121 y ^ { 2 } - 9\)

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Definitions:

Reverse

To change direction, position, or course of action to the opposite; in legal contexts, it may refer to overturning a decision in an appellate court.

Trial Court

The first level of court in the judicial system where cases are initially filed and adjudicated.

Prejudicial Error

An error that occurs during a trial, which affects the outcome of the case and may lead to the reversal of the trial court's decision on appeal.

Default Judgment

A binding judgment in favor of either party based on some failure to take action by the other party, often because the defendant does not respond to a summons.