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Factor the expression $196m^6-196n^{12}$

Step-by-step Solution

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Final answer to the problem

$196\left(m+n^{2}\right)\left(m^{4}+m^{2}n^{4}+n^{8}\right)\left(m-n^{2}\right)$
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Step-by-step Solution

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Factor the polynomial $196m^6-196n^{12}$ by it's greatest common factor (GCF): $196$

$196\left(m^{6}-n^{12}\right)$

Learn how to solve polynomial factorization problems step by step online.

$196\left(m^{6}-n^{12}\right)$

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Learn how to solve polynomial factorization problems step by step online. Factor the expression 196m^6-196n^12. Factor the polynomial 196m^6-196n^{12} by it's greatest common factor (GCF): 196. Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). Divide 1 by 3. Divide 1 by 3.

Final answer to the problem

$196\left(m+n^{2}\right)\left(m^{4}+m^{2}n^{4}+n^{8}\right)\left(m-n^{2}\right)$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyFactorFactor by completing the squareFind the integralFind the derivativeFind 196m^6+-196n^12 using the definitionSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $196\left(m+n^{2}\right)\left(m^{4}+m^{2}n^{4}+n^{8}\right)\left(m-n^{2}\right)$

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1
2
3
4
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

How to improve your answer:

Main Topic: Polynomial Factorization

They are a group of techniques that help us rewrite polynomial expressions as a product of factors.

Used Formulas

1. See formulas

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