Find The $6$ Th Term in the Expansion Of $( 2 x + y ) ^ { 8 }$

question 2

Multiple Choice

Find the $6$ th term in the expansion of $( 2 x + y ) ^ { 8 }$ .

• A) \(28 x ^ { 3 } y ^ { 6 }\)
• B) \(224 x ^ { 2 } y ^ { 6 }\)
• C) \(28 x ^ { 2 } y ^ { 6 }\)
• D) \(448 x ^ { 3 } y ^ { 5 }\)
• E) \(112 x ^ { 3 } y ^ { 5 }\)

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Definitions:

Horst And Graben

Geological features formed by the movement of the earth's crust, with a horst being a raised fault block and a graben being a lowered block, creating distinctive landscapes.

Footwall

The wall rock beneath an inclined fault.

Asymmetric Syncline

An asymmetric syncline is a fold in sedimentary layers that is uneven or lopsided, with one side of the fold having a gentler slope than the other.

Asymmetric Anticline

A fold in sedimentary layers that has unequal slopes on either side, typically illustrating differential stresses during its formation.