Simplify the Rational Expression $$\frac { 12 x ^ { 2 } + 36 x ^ { 3 } } { 5 x + 15 x ^ { 2 } }$$

question 252

Multiple Choice

Simplify the rational expression.
- $$\frac { 12 x ^ { 2 } + 36 x ^ { 3 } } { 5 x + 15 x ^ { 2 } }$$

• A) \(\frac { 12 + 36 x ^ { 3 } } { 5 x + 15 }\)
• B) \(\frac { 12 } { 5 }\)
• C) \(\frac { 12 x ^ { 2 } + 36 x ^ { 3 } } { 5 x + 15 x ^ { 2 } }\)
• D) \(\frac { 12 x } { 5 }\)

---

Definitions:

Subduction

A geological process where one tectonic plate moves under another and is forced to sink into the mantle.

Magnetic Stripes

Patterns of magnetic anomalies found on the ocean floor, created by the alternating polarity of Earth's magnetic field and used to understand seafloor spreading.

Magnetic Field

A region of space characterized by the presence of a magnetic force, such as that surrounding a magnet or the Earth.

Convergent Boundary

A tectonic boundary where two plates are moving toward each other, often resulting in mountain building, earthquakes, and volcanism.