Simplify the Complex Fraction $$\frac { \frac { 16 p ^ { 2 } - 49 q ^ { 2 } } { p q } } { \frac { 4 } { q } - \frac { 7 } { p } }$$

question 90

Multiple Choice

Simplify the complex fraction.
- $$\frac { \frac { 16 p ^ { 2 } - 49 q ^ { 2 } } { p q } } { \frac { 4 } { q } - \frac { 7 } { p } }$$

• A) \(\frac { 7 p + 4 q } { p q }\)
• B) \(\frac { p q } { 4 p + 7 q }\)
• C) \(4 p + 7 q\)
• D) \(7 p + 4 q\)

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Definitions:

Crustal Root

The downward extension of the Earth's crust into the mantle beneath mountain ranges, helping to support the elevation of the mountains above.

Thrust Faults

Type of fault where the hanging wall moves up relative to the footwall, common in areas of compression.

Thrust Sheets

Large segments of the Earth's crust that have been thrust over one another by compressional forces, commonly found in mountainous regions.

Subsidence

The sinking or settling of the Earth's surface, often caused by natural processes such as erosion or human activities like mining.