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Find the lowest common denominator of - not graded !

Find the lowest common denominator of - not graded !-example-1

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Given:

There are two equation given in the question.

Required:

We have to find the lowest common denominator of both equation.

Step-by-step explanation:


(p+3)/(p^2+7p+10)and(p+5)/(p^2+5p+6)

are given equations

first of all we need to factorization both denominator


\begin{gathered} p^2+7p+10and\text{ }p^2+5p+6 \\ (p+5)(p+2)and\text{ \lparen p+3\rparen\lparen p+2\rparen} \end{gathered}

so here (p+2) is common in both so take (p+2) for one time only

so now the lowest common denominator is


(p+5)(p+2)(p+3)

Final answer:

The lowest common denominator for given two equations is


(p+5)(p+2)(p+3)

User Ankur Dhanuka
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