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To find an equivalent form of the expression -(2-x)(x-3), we will use the distributive property to expand the expression.
First, let's distribute the negative sign to both terms inside the parentheses:
-(2-x)(x-3) = -1 * (2 - x) * (x - 3)
Next, apply the distributive property to expand the expression further:
-1 * (2 - x) * (x - 3) = -1 * (2 * x - x^2 - 6 + 3x)
Now, simplify the expression:
-1 * (2 * x - x^2 - 6 + 3x) = -2x + x^2 + 6 - 3x
Finally, combine like terms:
-2x + x^2 + 6 - 3x = x^2 - 5x + 6
Therefore, the equivalent form of -(2-x)(x-3) is x^2 - 5x + 6.