Find the Product $$( 5 x - 2 ) ^ { 4 }$$

question 435

Multiple Choice

Find the product.
- $$( 5 x - 2 ) ^ { 4 }$$

• A) \(- 1250 x ^ { 4 } + 2000 x ^ { 3 } + 600 x ^ { 2 } + 320 x + 16\)
• B) \(625 x ^ { 3 } - 1000 x ^ { 2 } + 600 x - 160\)
• C) \(625 x ^ { 4 } - 1000 x ^ { 3 } + 600 x ^ { 2 } - 160 x + 16\)
• D) \(\left( 25 x ^ { 2 } - 10 x + 4 \right) ^ { 4 }\)

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Definitions:

Cognitive Ability

Refers to the capacity of an individual to perform mental processes such as reasoning, problem-solving, and learning.

Algebraic Equation

A mathematical statement that shows the equality of two expressions, which are connected by an equals sign and involve at least one variable.

Formal-operational Thinking

Formal-operational thinking is a stage described by Jean Piaget where individuals (typically adolescents and adults) develop the ability to think abstractly, logically, and systematically.

Piagetian Stage

One of the stages in Jean Piaget's theory of cognitive development, which describes how children's abilities to think and reason change as they grow older, including sensorimotor, preoperational, concrete operational, and formal operational stages.