Swampwalker gave a good answer. In addition to the amp issues he explained, I believe his #2 comments have to do with the main bass driver not trying to move as much air if the LF is cut off. Therefore, the excursion of the bass driver will be less and the inherent distortion will be less when that driver is trying to also reproduce lower mids and upper low frequencies (above your cut off). However, like most things audiophile, there are trade-offs, which in this case include very careful matching of the sub with your main speakers, meaning the actual type of sub speaker(e.g., size/ported/sealed/servo-type/power, etc.), as well as the phase, crossover level, and boost/volume. You have to be careful because many/most subs are actually designed for the loud impact of HT, and not particularly for music. Your success will also depend on where your LF driver is crossed over. If it acts mainly as a subwoofer already, e.g. crossed over under about 150 Hz, or has its own internal amp, then your benefit may only be the adding of the very low bass below what your main speakers can do. However, if your LF driver is crossed over high, up into the midbass range, then you start to get the other benefits discussed by swampwalker. Many folks with high quality full range or almost full range speakers (that go down into the mid 30's to 20's) believe their speakers sound better without the issues associated with trying to integrate a sub. Then there is the type of music you listen to, your room size and characteristics, WAF, and on, and on, and on....Good luck.