bruskyp
Answered

Simplify each sum or difference. State any restrictions on the variables.

19) (-3x)/(x^2 - 9) + 4/(2x-6)



Answer :

Simplify 4
           2x-6


1.1     Pull out like factors :

  2x - 6 =  2 • (x - 3)


-3x Simplify ——3 over x2 -9———— x2 - 9
crisforp
(-3x)/(x^2 - 9) + 4/(2x-6) = (-3x)/[(x-3)(x+3)] + 4/[2(x-3)] =  (-3x)/[(x-3)(x+3)] + 2/(x-3) = 
(-3x + 2x + 6)/[(x-3)(x+3)] = (-x+6)/[(x-3)(x+3)];