(x^2+4x+3)(x^2+6x+8)-48
=(x+1)(x+3)(x+2)(x+4)-48
=(x^2+5x+4)(x^2+5x+6-48)
=(x^+5x+4)^2+2(x^2+5x+4)-48
=(x^2+5x+4+8)(x^2+5x+4-6)
=(x^2+5x+12)(x^2+5x-2)
(x^2+4x+3)(x^2+6x+8)-48
=(x+1)(x+3)(x+2)(x+4)-48
=(x^2+5x+4)(x^2+5x+6-48)
=(x^+5x+4)^2+2(x^2+5x+4)-48
=(x^2+5x+4+8)(x^2+5x+4-6)
=(x^2+5x+12)(x^2+5x-2)