Find the Product or Quotient $$\frac { 5 x ^ { 2 } + 17 x - 40 } { 3 x - 18 } \cdot \frac { x ^ { 2 } - 6 x } { 25 x ^ { 2 } - 64 } \div \frac { 3 x + 15 } { 2 x ^ { 3 } }$$

question 586

Multiple Choice

Find the product or quotient.
- $$\frac { 5 x ^ { 2 } + 17 x - 40 } { 3 x - 18 } \cdot \frac { x ^ { 2 } - 6 x } { 25 x ^ { 2 } - 64 } \div \frac { 3 x + 15 } { 2 x ^ { 3 } }$$

• A) \(\frac { 9 } { 2 x ^ { 4 } ( 5 x + 8 ) }\)
• B) \(\frac { 3 ( x + 5 ) ^ { 2 } } { 6 x ^ { 2 } ( 5 x + 8 ) }\)
• C) \(\frac { 2 x ^ { 4 } } { 9 ( 5 x + 8 ) }\)
• D) \(\frac { 2 x ^ { 3 } } { 9 ( 5 x + 8 ) }\)

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Definitions:

Landslides

The movement of rock, earth, or debris down a slope due to gravity, which can be triggered by factors like rainfall, earthquakes, or human activity.

Tsunami

A series of ocean waves with very long wavelengths caused by large-scale disturbances such as earthquakes under the sea.

Liquefaction

Loss of cohesion when grains in water-saturated soil or sediment lose grain-to-grain contact, as when shaken during an earthquake.

Landslides

The action of gravity pulling rocks, soil, or debris downward on a slope.