Question

Simplifique f(x) − f(p)

x − p

com x ≠ p sendo f(x) = x2 e p = 5

Answer 1

$\large\boxed{\begin{array}{l}\rm f(x)=x^2~~p=5\\\rm f(p)=f(5)=5^2=25\\\rm\dfrac{f(x)-f(p)}{x-p}\\\\\rm\dfrac{x^2-25}{x-5}=\dfrac{\diagup\!\!\!\!\!(x-\diagup\!\!\!\!\!5)\cdot(x+5)}{\diagup\!\!\!\!\!(x-\diagup\!\!\!\!\!5)}=x+5\end{array}}$