Solve the product $\left(n^2-1\right)\left(n^2+7\right)\left(n^4-6n^2+7\right)$

Step-by-step Solution

Go!
Symbolic mode
Text mode
Go!
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

Final answer to the problem

$n^{8}-36n^{4}+84n^2-49$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Solve by completing the square
  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Load more...
Can't find a method? Tell us so we can add it.
1

Multiply the single term $\left(n^2+7\right)\left(n^4-6n^2+7\right)$ by each term of the polynomial $\left(n^2-1\right)$

$n^2\left(n^2+7\right)\left(n^4-6n^2+7\right)-\left(n^2+7\right)\left(n^4-6n^2+7\right)$

Learn how to solve problems step by step online.

$n^2\left(n^2+7\right)\left(n^4-6n^2+7\right)-\left(n^2+7\right)\left(n^4-6n^2+7\right)$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve problems step by step online. Solve the product (n^2-1)(n^2+7)(n^4-6n^2+7). Multiply the single term \left(n^2+7\right)\left(n^4-6n^2+7\right) by each term of the polynomial \left(n^2-1\right). Multiply the single term n^2\left(n^4-6n^2+7\right) by each term of the polynomial \left(n^2+7\right). When multiplying exponents with same base we can add the exponents. Multiply the single term n^{4} by each term of the polynomial \left(n^4-6n^2+7\right).

Final answer to the problem

$n^{8}-36n^{4}+84n^2-49$

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

Help us improve with your feedback!

Function Plot

Plotting: $n^{8}-36n^{4}+84n^2-49$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

Go!
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:

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account