1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maslowich
3 years ago
15

Simplify the rational expression. State any restrictions on the variable.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

we are given

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}

Firstly, we will factor numerators and denominators

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-6)(n^2-4)}{(n^2-3)(n^2-6)}

we can see that

n^2 -6 is factor on both numerator and denominator

so, it will get cancelled

and n^2 -6 can not be equal to 0

so, one of restriction is

n^2-6\neq 0

n\neq -+ \sqrt{6}

we can simplify it

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-4)}{(n^2-3)}

we know that denominator can not be zero

n^2-3\neq 0

n\neq -+ \sqrt{3}

so, option-B.......Answer

You might be interested in
Name the figure below in two different ways.
12345 [234]

Answer:

LDM

MDL

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A) 60° B) 85° C) 96° D) 40°​
RideAnS [48]

Answer:

A)60°

Step-by-step explanation:

a straight line is 180° then

if a line bisect it in to a half it become 90°

then

the exterior angle of a triangle is equal to the sum of two interior angles

this means 150°-90°=60°

8 0
3 years ago
Read 2 more answers
If there are friends who read the book "Killing a Mockingbird", can they give information about its content? But please do not h
crimeas [40]

Answer:

There is really no substitute for reading this story. It's a classic, and gives some real insights into a culture where racial prejudice flourished, and how Scout's father stood against it.

Step-by-step explanation:

If you are reading, and have questions about what's going on, or what things mean, please ask.

4 0
3 years ago
If tanA=a <br>then find sin4A-2sin2A/ sin4A+2sin2A​
anygoal [31]

Answer:

The value of the given expression is

\frac{sin4A-2sin2A}{sin4A+2sin2A}=-a^2

Step by step Explanation:

Given that tanA=a

To find the value of \frac{sin4A-2sin2A}{sin4A+2sin2A}

Let us find the value of the expression :

\frac{sin4A-2sin2A}{sin4A+2sin2A}=\frac{2cos2Asin2A-2sin2A}{2cos2Asin2A+2sin2A} ( by using the formula sin2A=2cosAsinA here A=2A)  

=\frac{2sin2A(cos2A-1)}{2sin2A(cos2A+1)}

=\frac{(cos2A-1)}{(cos2A+1)}

=\frac{(-(1-cos2A))}{(1+cos2A)}(using  sin^2A+cos^2A=1  here A=2A)

=\frac{-(sin^2A+cos^2A-(cos^2A-sin^2A))}{sin^2A+cos^2A+(cos^2A-sin^2A)}(using cos2A=cos^2A-sin^2A here A=2A)

=\frac{-(sin^2A+cos^2A-cos^2A+sin^2A)}{sin^2A+cos^2A+(cos^2A-sin^2A)}

=\frac{-(sin^2A+sin^2A)}{cos^2A+cos^2A}

=\frac{-2sin^2A}{2cos^2A}

=-\frac{sin^2A}{cos^2A}

=-tan^2A  ( using tanA=\frac{sinA}{cosA} here A=2A )

 =-a^2 (since tanA=a given )

Therefore \frac{sin4A-2sin2A}{sin4A+2sin2A}=-a^2

6 0
3 years ago
Frank needs 3.6 meters of ribbon to wrap gifts for friends this year. If each spool contains 90 cm of ribbon,how many spools wil
erastovalidia [21]

Answer:a lot

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 3x squared + 6x =0<br>5x squared -20x=0<br>How do I find the roots of each equation by factoring.
    13·1 answer
  • If 48 feet are represented by 12 inches on a scale drawing, then a scale of  inch represents how many feet?
    7·2 answers
  • Cate and Elena were playing a card game. The stack of cards in the middle had 24 cards in it to begin with. Cate added 8 cards t
    9·2 answers
  • Suppose that the IQs of university​ A's students can be described by a normal model with mean 140 and standard deviation 8 poi
    14·1 answer
  • Opening Exercise
    13·1 answer
  • Lakesha bought a video game , stero system , and a cell phone for a total of $345. The cell phone cost $33 more than the video g
    12·1 answer
  • Can someone answer this and explain for me please?
    12·1 answer
  • How do I solve this? LINKS WILL BE REPORTED SO NO LINKS
    9·2 answers
  • 18 inches equals how many yards
    15·1 answer
  • What are some<br> relationships between<br> intersecting lines?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!