Expand the Binomial by Using the Binomial Theorem $$( 0.2 a + 0.5 b ) ^ { 4 }$$

question 258

Multiple Choice

Expand the binomial by using the binomial theorem.
- $$( 0.2 a + 0.5 b ) ^ { 4 }$$

• A) \(0.0016 a ^ { 4 } + 0.004 a ^ { 3 } b + 0.01 a ^ { 2 } b ^ { 2 } + 0.025 a b ^ { 3 } + 0.0625 b ^ { 4 }\)
• B) \(0.16 a ^ { 4 } + 1.6 a ^ { 3 } b + 6 a ^ { 2 } b ^ { 2 } + 10 a b ^ { 3 } + 6.25 b ^ { 4 }\)
• C) \(0.16 a ^ { 4 } + 0.4 a ^ { 3 } b + 1 a ^ { 2 } b ^ { 2 } + 2.5 a b ^ { 3 } + 6.25 b ^ { 4 }\)
• D) \(0.0016 a ^ { 4 } + 0.016 a ^ { 3 } b + 0.06 a ^ { 2 } b ^ { 2 } + 0.1 a b ^ { 3 } + 0.0625 b ^ { 4 }\)

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Definitions:

Pineal Gland

A small endocrine gland in the brain involved in the regulation of sleep patterns through the secretion of melatonin.

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The internal body clock that regulates the 24-hour cycle of biological processes, including sleep-wake patterns.