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Answer:
x-7
Step-by-step explanation:
1. Find the GCF of x^2-7x (which is x) and factor x^2-4x-21
2. Multiply 1/(x-7)(x+) by x and 4/x(x-7) by (x+3) to get (x-7) as both denominators
The least common denominator of the expression is x - 7
The expression is given as:
[tex]\frac{4}{x^2 - 7x} + \frac{1}{x^2 - 4x - 21}[/tex]
Expand the expressions
[tex]\frac{4}{x(x - 7)} + \frac{1}{(x + 3)(x - 7)}[/tex]
Bring the common term of both denominators
Common term = x - 7
Hence, the least common denominator is x - 7
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