Question

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

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

Answer 1

(-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)];

Answer 2

Simplify 4
2x-6


1.1 Pull out like factors :

2x - 6 = 2 • (x - 3)


-3x Simplify ——3 over x2 -9———— x2 - 9