Factor the Expression Completely $x ^ { 2 } + 4 x + 4 - y ^ { 2 }$

question 252

Multiple Choice

Factor the expression completely. If the expression is prime, so indicate. $x ^ { 2 } + 4 x + 4 - y ^ { 2 }$

• A) \(( x + 2 + y ) ( x + 2 - y )\)
• B) \(( x - 2 + y ) ( x - 2 - y )\)
• C) \(( x + 9 + y ) ( x + 9 - y )\)
• D) \(( x - 9 + y ) ( x - 9 - y )\)
• E) prime

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Definitions:

Economies of Scale

The cost advantages that a business can exploit by expanding their scale of production, leading to a lower cost per unit.

Diseconomies of Scale

Increased costs per unit that occur when a company grows too large, leading to inefficiencies.

Long-Run Average Cost Curve

A graphical representation showing the minimum cost per unit at which a firm can produce any given level of output in the long run when all inputs are variable.

Diseconomies of Scale

The phenomenon where, as a firm becomes too large, its costs per unit increase due to inefficiencies, leading to a decrease in overall productivity or cost-effectiveness.