Simplify fully (3x^2-8x-3)/(2x^2-6x)

Simply factorise both expressions and cancel out the common denominator until left with a fully simplified fraction.the top expression becomes (3x+1)(x-3) and the bottom becomes 2x(x-3). Therefore, (x-3) can be cancelled out in the numerator and denominator.answer = (3x+1)/2x