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To write ( x(x-2) + 3(2-x) ) as a product of binomials, first simplify the expression. Notice that ( 2 - x ) can be rewritten as ( -(x - 2) ), so ( 3(2-x) = -3(x-2) ). Combining the terms, we have ( x(x-2) - 3(x-2) = (x-2)(x-3) ). Thus, the expression can be factored as ( (x-2)(x-3) ).
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