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

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

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Given as

F(x) = (x – a)2(x – b)2

Let us find the f(a + b).

Now, we have

f (a + b) = (a + b – a)2 (a + b – b)2

f (a + b) = (b)2 (a)2

∴ f (a + b) = a2b2

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