Final Answer
$-6$
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Step-by-step Solution
Problem to solve:
$\lim_{x\to-1}\left(\frac{12x^3+12x^2}{x^4-x^2}\right)$
Choose the solving method
1
Factor the polynomial $12x^3+12x^2$ by it's GCF: $12x^2$
$\lim_{x\to-1}\left(\frac{12x^2\left(x+1\right)}{x^4-x^2}\right)$
Learn how to solve limits by factoring problems step by step online.
$\lim_{x\to-1}\left(\frac{12x^2\left(x+1\right)}{x^4-x^2}\right)$
Learn how to solve limits by factoring problems step by step online. Find the limit of (12x^3+12x^2)/(x^4-x^2) as x approaches -1. Factor the polynomial 12x^3+12x^2 by it's GCF: 12x^2. Factor the polynomial x^4-x^2 by it's GCF: x^2. Simplify the fraction \frac{12x^2\left(x+1\right)}{x^2\left(x^2-1\right)} by x^2. Factor the difference of squares x^2-1 as the product of two conjugated binomials.
Final Answer
$-6$