Find the Product and Simplify $\frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 8 x + 12 } \cdot \frac { x ^ { 2 } + 14 x + 48 } { x ^ { 2 } + 5 x + 4 }$

question 94

Multiple Choice

Find the product and simplify.
- $\frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 8 x + 12 } \cdot \frac { x ^ { 2 } + 14 x + 48 } { x ^ { 2 } + 5 x + 4 }$

• A) \(\frac { ( x + 1 ) ( x + 2 ) } { ( x + 8 ) ( x + 6 ) }\)
• B) \(\frac { ( x + 8 ) ( x + 6 ) } { ( x + 1 ) ( x + 2 ) }\)
• C) \(\frac { 527 } { 45 }\)
• D) \(\frac { ( x + 4 ) ^ { 2 } ( x + 1 ) } { ( x + 8 ) ( x + 6 ) ( x + 2 ) }\)

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Definitions:

Strike-Slip Fault

A type of fault where two blocks of the Earth's crust slide past each other horizontally along the fault plane.

Transform Boundaries

Plate boundaries where tectonic plates slide horizontally past each other, often leading to earthquakes.

Mid-Ocean Ridge

A series of mountains beneath the ocean, generated by the shifting of tectonic plates, where fresh oceanic crust is formed.

Shear Zone

A generally tabular zone of rock that is more highly sheared and deformed than rocks outside the zone.