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# Find the limit of $\frac{12x^3+12x^2}{x^4-x^2}$ as $x$ approaches $-1$

## Step-by-step Solution

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$-6$
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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.

$-6$
SnapXam A2

### beta Got another answer? Verify it!

Go!
1
2
3
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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

$\lim_{x\to-1}\left(\frac{12x^3+12x^2}{x^4-x^2}\right)$