Multiply the Rational Expressions $$\frac { 2 x ^ { 2 } - 4 x - 6 } { x + 2 } \cdot \frac { x ^ { 2 } - 4 } { 2 x ^ { 2 } + 2 x }$$

question 1

Multiple Choice

Multiply the rational expressions. $$\frac { 2 x ^ { 2 } - 4 x - 6 } { x + 2 } \cdot \frac { x ^ { 2 } - 4 } { 2 x ^ { 2 } + 2 x }$$

• A) \(\frac { ( x - 3 ) ( x - 2 ) ^ { 2 } } { x ( x + 2 ) }\)
• B) \(\frac { ( x - 3 ) ( x - 2 ) } { x }\)
• C) \(\frac { ( 2 x + 2 ) ( x - 3 ) } { x + 2 }\)
• D) \(\frac { ( x - 3 ) ( x + 2 ) } { 2 x ^ { 2 } + 2 x }\)

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Definitions:

Quartzite

A hard, non-foliated metamorphic rock which was originally pure quartz sandstone and transformed through heat and pressure.

Fractures

Breaks in rock or mineral formations where there has been no significant movement on either side.

Unmetamorphosed Sedimentary

Refers to sedimentary rocks that have not undergone metamorphism and retain their original sedimentary characteristics.

Fault Scarps

Steep cliffs or slopes formed by the displacement of the ground surface due to movement along a fault.