Rational Expressions - 2

Jason

Well-known member
Find the lowest common denominator:

(c.) \(\displaystyle \dfrac{10x - 5}{(9x)(15 + x)(8 + x)} + \dfrac{x - 8}{(15 + x)^{3})(6x)}\)

A combo of the highest terms: \(\displaystyle (9x)(6x)(8 + x)(6 - x)(15 + x)^{3}\)

@MarkFL Looks right? How could we put in the single x expressions?
 

MarkFL

La Villa Strangiato
Math Helper
I would think of the first denominator as:

\(\displaystyle 3^2x(x+8)(x+15)\)

And the second denominator as:

\(\displaystyle 2\cdot3x(x+15)^3\)

And so the LCD is:

\(\displaystyle 2\cdot3^2x(x+8)(x+15)^3\)
 

Jason

Well-known member
I would think of the first denominator as:

\(\displaystyle 3^2x(x+8)(x+15)\)

And the second denominator as:

\(\displaystyle 2\cdot3x(x+15)^3\)

And so the LCD is:

\(\displaystyle 2\cdot3^2x(x+8)(x+15)^3\)
So basically the x term is \(\displaystyle 18x\)
 
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