Exercise
$\lim_{x\to-1}\left(\frac{12x^3+12x^2}{x^4-x^2}\right)$
Step-by-step Solution
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 greatest common factor (GCF): 12x^2. Factor the polynomial x^4-x^2 by it's greatest common factor (GCF): x^2. Simplify the fraction \frac{12x^2\left(x+1\right)}{x^2\left(x^2-1\right)} by x^2. Simplify \sqrt{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}.
Find the limit of (12x^3+12x^2)/(x^4-x^2) as x approaches -1
Final answer to the exercise
$-6$