Use the Binomial Theorem to Expand and Simplify the Expression $( 2 x - 5 y ) ^ { 5 }$

question 153

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $( 2 x - 5 y ) ^ { 5 }$

• A) \(32 x ^ { 5 } - 400 x ^ { 4 } y - 2000 x ^ { 3 } y ^ { 2 } - 5000 x ^ { 2 } y ^ { 3 } - 6250 x y ^ { 4 } - 3125\)
• B) \(32 x ^ { 5 } - 400 x ^ { 4 } y + 2000 x ^ { 3 } y ^ { 2 } + 5000 x ^ { 2 } y ^ { 3 } + 6250 x y ^ { 4 } + 3125\)
• C) \(32 x ^ { 5 } + 400 x ^ { 4 } y + 2000 x ^ { 3 } y ^ { 2 } - 5000 x ^ { 2 } y ^ { 3 } + 6250 x y ^ { 4 } - 3125\)
• D) \(32 x ^ { 5 } - 400 x ^ { 4 } y + 2000 x ^ { 3 } y ^ { 2 } - 5000 x ^ { 2 } y ^ { 3 } + 6250 x y ^ { 4 } - 3125\)
• E) \(32 x ^ { 5 } + 400 x ^ { 4 } y + 2000 x ^ { 3 } y ^ { 2 } - 5000 x ^ { 2 } y ^ { 3 } + 6250 x y ^ { 4 } + 3125\)

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More-Than-50% Business-Use Test

A criterion used for determining whether an asset is used primarily for business, requiring that over 50% of its use is for business to qualify for certain tax deductions.

Listed Property

Assets specified by the IRS that are subject to specific record-keeping and substantiation requirements, such as vehicles and computers used for business.

Business Bad Debt

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Short-Term Capital Loss

A loss realized on the sale or exchange of a capital asset held for one year or less.