Simplify (4x-6)/(3x^2-2x)*(3x^3-2x^2)/(4x^2-9)
2(2x-3) * x(3x^2-2x)
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(3x^2-2x) * (2x-3)(2x+3)
cancel out the (2x-3) and the (3x^2-2x), leaving just
2x/(2x+3)
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(3x^2-2x) * (2x-3)(2x+3)
cancel out the (2x-3) and the (3x^2-2x), leaving just
2x/(2x+3)