Factor Completely $$128 x ^ { 3 } y - 250 y ^ { 4 }$$

question 100

Multiple Choice

Factor completely.
- $$128 x ^ { 3 } y - 250 y ^ { 4 }$$

• A) \(2 y ( 4 x - 5 y ) \left( 16 x ^ { 2 } + 20 x y + 25 y ^ { 2 } \right)\)
• B) \(2 y \left( 4 x + 5 y ^ { 2 } \right) \left( 16 x ^ { 2 } - 20 x y + 25 x y ^ { 2 } \right)\)
• C) \(2 y ( 64 x - 5 y ) \left( x ^ { 2 } + 20 x y + 25 y ^ { 2 } \right)\)
• D) \(\left( 8 x y - 10 y ^ { 2 } \right) \left( 16 x ^ { 2 } + 25 y ^ { 2 } \right)\)

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Definitions:

Straight-Line Method

The straight-line method is a technique for calculating depreciation of an asset by evenly spreading its cost over its expected useful life.

Semiannual Interest

Semiannual interest refers to the interest payment made two times a year on a loan or bond.

Present Value

The present valuation of a future financial sum or cash flow series, factoring in a specific return rate.

Compound Interest

Interest earned on both the initial principal and the accumulated interest from previous periods on a deposit or loan.