Toán Lớp 8: Phân tích đa thức sau thành nhân tử : (x+2)(x+3)(x+4)(x+5)-8

\left(x^{2}+3x+2x+6\right)\left(x+4\right)\left(x+5\right)-8 \left(x^{3}+4x^{2}+5x^{2}+20x+6x+24\right)\left(x+5\right)-8 \left(x^{2}+5x+6\right)\left(x+4\right)\left(x+5\right)-8 \left(x^{3}+9x^{2}+20x+6x+24\right)\left(x+5\right)-8 x^{4}+5x^{3}+9x^{3}+45x^{2}+26x^{2}+130x+24x+120-8 \left(x^{3}+9x^{2}+26x+24\right)\left(x+5\right)-8 x^{4}+14x^{3}+45x^{2}+26x^{2}+130x+24x+120-8 x^{4}+14x^{3}+71x^{2}+130x+24x+120-8 x^{4}+14x^{3}+71x^{2}+154x+112