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Monomial

If Px=x2, t...

Question

If $P (x) = x^{2}$ , then find the value of $P (a + 1) - P (a - 1)$ .

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Solution

$p (x) = x^{2}$
$\Rightarrow p (a + 1) = (a + 1)^{2} = a^{2} + 2 a + 1$
$\Rightarrow p (a - 1) = (a - 1)^{2} = a^{2} + 1 - 2 a$
$\Rightarrow p (a + 1) - p (a - 1) = 4 a$ .

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