If f(x) = (x − a)2 (x − b)2, find f(a + b).
Given:
f (x) = (x – a)2(x – b)2
Thus,
$f(a+b)=(a+b-a)^{2}(a+b-b)^{2}$
$=b^{2} a^{2}$
Hence, $f(a+b)=a^{2} b^{2}$.
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