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

Question

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

✓

Answer

We have,
$f(x) = (x - a)^2(x - b)^2$
Now, $f(a + b) = (a + b - a)^2(a + b - b)^2$
$= b^2a^2$
Hence, $f(a + b) = a^2b^2$

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