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Algebra Level 4

{A=1×2+3×4+5×6++37×38+39B=1+2×3+4×5++36×37+38×39 \begin{cases} {A = 1\times 2 + 3\times4 + 5\times 6 + \ldots+37\times38 + 39 } \\ { B = 1 + 2\times 3 + 4 \times 5 + \ldots + 36 \times 37 + 38 \times 39 } \end{cases}

The values of AA and BB are obtained by writing multiplcation and addition operators in an alternating pattern between successive integers as described above. Find AB|A-B|.

Notation: | \cdot | denotes the absolute value function.

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