Using the $\epsilon-\delta$ definition of the limit, evaluate, $\lim\limits_{x\to a}f(x)=x^2$

Question

Using the $\epsilon-\delta$ definition of the limit, evaluate $$\lim\limits_ {x\to a}f(x)=x^2$$

I am stuck on $|x−a||x+a|<\epsilon$ and can't eliminate $|x+a|$.

Answer 1

Hint:

$$ |x+a| = |(x-a)+2a| \leq |x-a| + 2|a| $$