Perform the Division $\frac { 38 x ^ { 5 } y ^ { 6 } - 19 x ^ { 4 } y ^ { 11 } + 57 x y } { 76 x ^ { 2 } y ^ { 4 } }$

question 281

Multiple Choice

Perform the division. $\frac { 38 x ^ { 5 } y ^ { 6 } - 19 x ^ { 4 } y ^ { 11 } + 57 x y } { 76 x ^ { 2 } y ^ { 4 } }$

• A) \(\frac { x ^ { 4 } y ^ { 2 } } { 2 } - \frac { x ^ { 2 } y ^ { 7 } } { 4 } + \frac { 3 } { 4 x y ^ { 3 } }\)
• B) \(\frac { x ^ { 3 } y ^ { 2 } } { 2 } - \frac { x ^ { 2 } y ^ { 6 } } { 4 } + \frac { 3 } { 4 x y ^ { 3 } }\)
• C) \(\frac { x ^ { 3 } y ^ { 2 } } { 2 } - \frac { x ^ { 2 } y ^ { 5 } } { 4 } + \frac { 3 } { 4 x y ^ { 3 } }\)
• D) \(\frac { x ^ { 3 } y ^ { 2 } } { 2 } - \frac { x ^ { 2 } y ^ { 7 } } { 4 } + \frac { 3 } { 4 x y ^ { 3 } }\)
• E) \(\frac { x ^ { 3 } y ^ { 3 } } { 2 } - \frac { x ^ { 2 } y ^ { 7 } } { 4 } + \frac { 3 } { 4 x y ^ { 3 } }\)

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Definitions:

Species Diversity

The variety of different species present in a particular ecological community or habitat.

Arctic Tundra

A biome characterized by a cold, desert-like climate located at high latitudes above the Arctic Circle, with permafrost and minimal vegetation.

Coniferous Forest

A biome characterized by evergreen trees with needles and cones, often found in cooler northern latitudes.

Natural Grassland

Ecosystems dominated by grasses and other non-woody plants, often subject to periodic fires and grazing.