Use the Binomial Theorem to Expand the Binomial $$( x + 3 ) ^ { 6 }$$

question 146

Multiple Choice

Use the Binomial Theorem to expand the binomial.
- $$( x + 3 ) ^ { 6 }$$

• A) \(x ^ { 6 } + 18 x ^ { 5 } + 135 x ^ { 4 } + 540 x ^ { 3 } + 1215 x ^ { 2 } + 1458 x + 729\)
• B) \(x ^ { 6 } + 18 x ^ { 5 } + 729 x ^ { 4 } + 60 x ^ { 3 } + 729 x ^ { 2 } + 18 x + 3\)
• C) \(x ^ { 6 } + 18 x ^ { 5 } + 108 x ^ { 4 } + 486 x ^ { 3 } + 972 x ^ { 2 } + 1458 x + 729\)
• D) \(x ^ { 6 } + 18 x ^ { 5 } + 36 x ^ { 4 } + 54 x ^ { 3 } + 36 x ^ { 2 } + 18 x + 3\)

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Definitions:

Defense Mechanisms

Psychological strategies used unconsciously to protect oneself from anxiety and internal conflict by denying or distorting reality.

Stress

A physical or mental response to external pressures or threats, which can affect an individual's health and well-being.

Individual Differences

Variations among individuals in their psychological traits, behaviors, and physical attributes.

Hardiness

Hardiness is a personality trait that encompasses control, commitment, and challenge, enabling people to handle stress better.