Perform the Indicated Operations $$\frac { 3 } { y ^ { 2 } - 3 y + 2 } + \frac { 7 } { y ^ { 2 } - 1 }$$

question 43

Multiple Choice

Perform the indicated operations. Simplify the result, if possible.
- $$\frac { 3 } { y ^ { 2 } - 3 y + 2 } + \frac { 7 } { y ^ { 2 } - 1 }$$

• A) \(\frac { 42 y - 11 } { ( y - 1 ) ( y + 1 ) ( y - 2 ) }\)
• B) \(\frac { 10 y - 11 } { ( y - 1 ) ( y + 1 ) ( y - 2 ) }\)
• C) \(\frac { 11 y - 10 } { ( y - 1 ) ( y + 1 ) ( y - 2 ) }\)
• D) \(\frac { 10 y - 11 } { ( y - 1 ) ( y - 2 ) }\)

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Definitions:

Categorical Syllogism

A form of deductive reasoning consisting of three propositions: a major premise, a minor premise, and a conclusion, each of which states something about categories of things.

Hypothetical

Based on or serving as a hypothesis, a supposed but unproven premise or supposition used as the basis for further reasoning.

Disjunctive

A logical term referring to a choice between alternatives, often expressed in the format "A or B".

Syllogism

A form of logical reasoning where a conclusion is drawn from two given or assumed propositions (premises), each sharing a common or middle term not present in the conclusion.