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) \(0.0016 a ^ { 4 } + 0.016 a ^ { 3 } b + 0.06 a ^ { 2 } b ^ { 2 } + 0.1 a b ^ { 3 } + 0.0625 b ^ { 4 }\)

---

Definitions:

Mobile

Capable of moving or being moved freely or easily.

Freshwater

Water that contains minimal amounts of dissolved salts, found in rivers, lakes, and streams, supporting a diverse range of plants and animals.

Hypotonic

Describes a solution with a lower concentration of solutes compared to another, resulting in water influx into cells.

Tissue Fluids

Fluids that surround the cells of tissues, providing nutrients and removing waste, also known as interstitial fluid.