(a-c)/(a-√2a)*(a-2)/(√a-√c)*(√2-(√2a)/√a+√2))

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To simplify the given expression, we can start by finding common factors that can be canceled out:

(a-c)/(a-√2a)(a-2)/(√a-√c)(√2-(√2a)/√a+√2)

= [(a-c)/(a(1-√2))][(a-2)/√(a-c)][(√2-a)/√(a+c)]

Now, let's simplify further by factoring out common terms:

= [(a-c)/a(1-√2)][(a-2)/√(a-c)][(√2-a)/√(a+c)]

= [(a-c)(a-2)(√2-a)] / [a(1-√2)√(a-c)√(a+c)]

= [(a^2 - 3a + 2)(√2-a)] / [a(1-√2)√(a^2-c^2)]

= [a^3 - 5a^2 + 6a] / [a(1-√2)*|a-c|]

So, the simplified form of the given expression is:

(a^3 - 5a^2 + 6a) / [a(1-√2)*|a-c|]