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