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the least common denominator is: $(x - 4)(x + \\square)(x - 3)$ (where …

Question

the least common denominator is:
$(x - 4)(x + \square)(x - 3)$ (where the first square has 1 inside)

Explanation:

Step1: Identify factors

The factors given are \((x - 4)\), \((x + 1)\), and \((x - 3)\).

Step2: Least Common Denominator (LCD)

For algebraic expressions, the LCD is the product of the distinct factors. So we multiply these factors together.
The LCD is \((x - 4)(x + 1)(x - 3)\).

Answer:

\((x - 4)(x + 1)(x - 3)\)