Posted by Bob on Tuesday, May 22, 2012 at 2:16am.
Combine The Rational Expressions and Simplify (3x7)/(x^212x+27)(3x8)/(x^29x+18)+(x+2)/(x^215x+54)

Algebra 2  Reiny, Tuesday, May 22, 2012 at 8:05am
factor first
(3x2)/((x3)(x9))  (3x8)/((x3)(x6)) + (x+2)/((x9)(x6))
so the LCD is ((x3)(x6)(x9)
= [ (3x2)(x6)  (3x8)(x9) + (x+2)(x3) ]/[(x3)(x6)(x9)]
= [3x^2  20x + 12  3x^2 + 35x  72 + x^2  x  6]/[(x3)(x6)(x9)]
= (x^2 + 14x 66)/[(x3)(x6)(x9)]
check my arithmetic