1.

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

Answer»

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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