Ta có:
\(A=999994.999999.999992-999996.999991.999998\)
Đặt \(999995=x\), ta được
\(A=\left(x-1\right)\left(x+4\right)\left(x-3\right)-\left(x+1\right)\left(x-4\right)\left(x+3\right)\)
\(A=\left(x^2+3x-4\right)\left(x-3\right)-\left(x^2-3x-4\right)\left(x+3\right)\)
\(A=x^3+3x^2-4x-3x^2-9x+12-x^3+3x^2+4x-3x^2+9x+12\)
\(A=24\)
Ta lại có:
\(B=444443.444448.444441-444445.444440.444447\)
Đặt \(444444=y\), ta được
\(B=\left(y-1\right)\left(y+4\right)\left(y-3\right)-\left(y+1\right)\left(y-4\right)\left(y+3\right)\)
\(B=\left(y^2+3y-4\right)\left(y-3\right)-\left(y^2-3y-4\right)\left(y+3\right)\)
\(B=y^3+3y^2-4y-3y^2-9y+12-y^3+3y^2+4y-3y^2+9y+12\)
\(B=24\)
Vậy A = B ( = 24 )
