Answered

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what is the least common denominator of the rational expressions below? 4/x^2-7x + 1/x^2-4x-21

Sagot :

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

MrRoyal

The least common denominator of the expression is x - 7

How to determine the least common denominator?

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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