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
Maurinko [17]
3 years ago
14

Factor completely n^4 +8n^2 + 15 =

Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

Answer:

The factor form is n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)

Step-by-step explanation:

When it is required to factor the expression given in the problem, we have to first find a common term or terms, which will be found by either grouping the like terms or the splitting of the terms.

Now the expression that is given here is:

n^4 +8n^2 + 15

Now, here we will take:

u=n^2

Thus we will get:

n^4 +8n^2 + 15\\=u^2+8u+15

Now we will do the middle term split as follows:

u^2+8u+15\\=\left(u^2+3u\right)+\left(5u+15\right)\\=u\left(u+3\right)+5\left(u+3\right)\\=\left(u+3\right)\left(u+5\right)

Substituting back u=n^2 , we will have:

\left(u+3\right)\left(u+5\right)\\=\left(n^2+3\right)\left(n^2+5\right)

Hence, the required factor form of the given expression will be:

n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)

You might be interested in
Need help got 40mins left almost done with class if you can help with algebra 2 class let me know so I can personal message you
marissa [1.9K]

Answer:

Quadratic because the y values go up and then down.  None of the other options can do that.

5 0
3 years ago
Read 2 more answers
A car went 64 miles on 2 gallons of gas in the morning, 16 miles on 1/2 gallon of gas at noon, and 32 miles on 1 gallon of gas a
Marina86 [1]

Answer:

Yes,

Step-by-step explanation:

You take 64 miles for 2 gallons and divide it by 2. And it leads up to 32 miles and 1 gallon. Now you divide that by 2 again and get 16 miles and 1/2 gallon. So, to check that you can take 16+16 and you get 32 and take 32+32 and you get 64.

7 0
3 years ago
What is the area of this triangle?
dsp73

Answer:60

Step-by-step explanation:

a=13 b=13 c=10

Perimeter of =a+b+c

perimeter of =13+13+10

Perimeter of =36

S=36 ➗ 2

S=18

Area=√s(s-a)(s-b)(s-c)

Area=√18(18-13)(18-13)(18-10)

Area=√18(5)(5)(8)

Area=√(3600)

Area of =60

4 0
3 years ago
What point represents 2 3/4 on the number line
baherus [9]
This point 2 3/4 on the number line
8 0
1 year ago
Can y’all help me with all of these
USPshnik [31]
1- it’s

2- it’s

3- let’s

4- one’s

5- he’s
5 0
3 years ago
Read 2 more answers
Other questions:
  • How do I evaluate this expression ? <br> (-10)-(-11)-10
    9·1 answer
  • How can i solve this?
    9·1 answer
  • • A pressure control apparatus contains 3 electronic tubes. The apparatus will not work unless all tubes are operative. If the p
    13·1 answer
  • Kinda confused!! need help!!
    9·2 answers
  • What happens to the median if the game with 3 hits is remqued from the data sset
    5·1 answer
  • Multiply and simplify: –5gh4 • (–2g3h5)
    14·1 answer
  • I have to find out if there equivalent? 96 miles on 4 gallons,380 miles on 15 gallons?
    5·2 answers
  • A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of p
    11·2 answers
  • If you need a better picture please let me k ow
    6·1 answer
  • In 2020, there were about 260 million gas powered cars on the road. This number isexpected to decrease at a rate of 1.1% per yea
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!