If f(x) = (x – a)2(x – b)2, find f(a + b).

Given f(x) = (x – a)2(x – b)2


We need to find f(a + b).


We have f(a + b) = (a + b – a)2(a + b – b)2


f(a + b) = (b)2(a)2


f(a + b) = a2b2


Thus, f(a + b) = a2b2


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