Find the Product and Simplify $\frac { x ^ { 2 } + 12 x + 27 } { x ^ { 2 } + 18 x + 81 } \cdot \frac { x ^ { 2 } + 17 x + 72 } { x ^ { 2 } + 11 x + 24 }$

question 268

Multiple Choice

Find the product and simplify.
- $\frac { x ^ { 2 } + 12 x + 27 } { x ^ { 2 } + 18 x + 81 } \cdot \frac { x ^ { 2 } + 17 x + 72 } { x ^ { 2 } + 11 x + 24 }$

• A) \(\frac { x + 3 } { x + 9 }\)
• B) 1
• C) \(\frac { 1 } { x + 8 }\)
• D) \(\frac { x + 9 } { x + 8 }\)

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Definitions:

Erosion Surface

A land surface shaped and leveled by the long-term action of erosion, removing geological features.

Half Life

The time required for half of a radioactive substance to decay by radioactive processes.

Parent Atoms

Atoms that undergo radioactive decay, transforming into different atoms or isotopes over time.

Daughter Atoms

Atoms that result from the decay of a parent isotope during radioactive decay processes.