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Factorize a^2 - b^2 - c^2 + d^2 - 2ad + 2bc.

A(a-d-b+c)(a-d+b-c)

B(a-d-b-c)(a-d+b+c)

C(a+d-b+c)(a+d+b-c)

D(a-d)^2 - (b-c)^2