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what is the least common denominator of the rational expressions below ?5/x^2-3/5x^2+12x

What Is The Least Common Denominator Of The Rational Expressions Below 5x235x212x class=

Sagot :

Answer:

[tex]\text{LCD: 6x}^2(x+2)[/tex]

Step-by-step explanation:

*LCD is the lowest common multiple of the denominators of a set of fractions.

As a first step, factor each denominator as much it can be factored:

[tex]\begin{gathered} x^2=x\cdot x \\ 6x^2+12x=6x(x+2) \end{gathered}[/tex]

Then, determine the maximum number of times they occur in any factorization to find the LCD:

[tex]\text{LCD: 6x}^2(x+2)[/tex]

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