Use the Binomial Theorem to Expand and Simplify the Expression $( 4 x + 3 y ) ^ { 4 }$

question 367

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $( 4 x + 3 y ) ^ { 4 }$

• A) \(256 x ^ { 4 } + 768 x ^ { 3 } y + 864 x ^ { 2 } y ^ { 2 } + 432 x y ^ { 3 } + 81 y ^ { 4 }\)
• B) \(256 x ^ { 4 } + 4 x ^ { 3 } y + 864 x ^ { 2 } y ^ { 2 } + 432 x y ^ { 3 } + y ^ { 4 }\)
• C) \(256 x ^ { 4 } + 108 x ^ { 3 } y + 864 x ^ { 2 } y ^ { 2 } + 432 x y ^ { 3 } + 81 y ^ { 4 }\)
• D) \(x ^ { 4 } + 768 x ^ { 3 } y + 864 x ^ { 2 } y ^ { 2 } + 432 x y ^ { 3 } + 81 y ^ { 4 }\)
• E) \(256 x ^ { 4 } + 768 x ^ { 3 } y + 864 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } + 81 y ^ { 4 }\)

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Definitions:

Payback Method

A capital budgeting method that calculates the time needed to recoup the initial investment from the cash inflows.

Time Value Of Money

The idea that money in hand now is more valuable than the same amount in the future because of its ability to generate earnings.

Liquidity Bias

A preference or bias for investments that can be quickly converted into cash without significant loss in value.

Arbitrary Cut-Off

A subjective or chosen without any specific standard or rule, end point or threshold.