Multiply Using the Rule for the Product of the Sum $$\left( 4 x y ^ { 2 } + 10 x \right) \left( 4 x y ^ { 2 } - 10 x \right)$$

question 36

Multiple Choice

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers.
- $$\left( 4 x y ^ { 2 } + 10 x \right) \left( 4 x y ^ { 2 } - 10 x \right)$$

• A) \(8 x ^ { 2 } y ^ { 4 } - 80 x ^ { 2 } y ^ { 4 } - 20 x ^ { 2 }\)
• B) \(16 x ^ { 2 } y ^ { 4 } - 100 x ^ { 2 }\)
• C) \(8 x ^ { 2 } y ^ { 4 } - 20 x ^ { 2 }\)
• D) \(16 x ^ { 2 } y ^ { 4 } - 80 x ^ { 2 } y ^ { 4 } - 100 x ^ { 2 }\)

---

Definitions:

Urge To Defecate

The natural sensation of needing to pass stools from the body.

Multiple Sclerosis

A chronic autoimmune disease affecting the central nervous system, leading to varying levels of physical and cognitive disabilities.

Bowel Incontinence

An inability to control bowel movements, causing involuntary passage of stool.

Extended Care Unit

A facility that provides long-term medical care, rehabilitation, or assistance with activities of daily living for patients recovering from an illness or surgery.