Final Answer
$a+3$
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Step-by-step Solution
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1
Factor the polynomial $x\left(x-a\right)+3\left(x-a\right)$ by it's greatest common factor (GCF): $x-a$
$\lim_{x\to a}\left(\frac{\left(x-a\right)\left(x+3\right)}{x-a}\right)$
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to a}\left(\frac{\left(x-a\right)\left(x+3\right)}{x-a}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(a)lim((x(x-a)+3(x-a))/(x-a)). Factor the polynomial x\left(x-a\right)+3\left(x-a\right) by it's greatest common factor (GCF): x-a. Simplify the fraction \frac{\left(x-a\right)\left(x+3\right)}{x-a} by x-a. Evaluate the limit \lim_{x\to a}\left(x+3\right) by replacing all occurrences of x by a.
Final Answer
$a+3$