Use the Binomial Formula to Expand the Binomial $( x - 1 ) ^ { 6 }$

question 158

Multiple Choice

Use the binomial formula to expand the binomial.
- $( x - 1 ) ^ { 6 }$

• A) \(x ^ { 6 } - 6 x ^ { 5 } - 30 x ^ { 4 } - 120 x ^ { 3 } - 360 x ^ { 2 } - 720 x + 720\)
• B) \(x ^ { 6 } - 6 x ^ { 5 } - 15 x ^ { 4 } - 20 x ^ { 3 } - 15 x ^ { 2 } - 6 x - 6\)
• C) \(x ^ { 6 } - 6 x ^ { 5 } + 30 x ^ { 4 } - 120 x ^ { 3 } + 30 x ^ { 2 } - 6 x + 1\)
• D) \(x ^ { 6 } - 6 x ^ { 5 } + 15 x ^ { 4 } - 20 x ^ { 3 } + 15 x ^ { 2 } - 6 x + 1\)

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Definitions:

Adjustable Wrench

A wrench with one fixed and one movable jaw, enabling it to span a wide range of dimensions. The position of the movable jaw is determined by rotating a helical adjusting worm.

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A hex or double hex wrench designed to completely enclose a bolt or nut and evenly apply torque to it.

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A precision measuring tool used to measure small distances and angles with high accuracy, often used in engineering and manufacturing.

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The looseness or lost motion in a mechanical system, often noticeable in gear trains where there is a gap between mating gear teeth.