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
adell [148]
3 years ago
10

Show all work to factor x4 − 10x2 + 9 completely.

Mathematics
2 answers:
AlekseyPX3 years ago
8 0

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a² - b² =(a+b)(a−b)  where a=x and  b=3.

(x+3)(x-3)(x+1)(x-1)

leva [86]3 years ago
6 0

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

x4-10x^2+9

Group expression so that the coefficients of the x^2 terms add up to +9.

= x^4 -9x^2   - x^2+9

match coefficients in both groups

= x^4 -9x^2   - (x^2-9)

factor each group

= x^2 (x^2-9) - 1(x^2-9)

now factor out the common factor (x^2-9)

= (x^2-1)(x^2-9)

Finally, factor each quadratic factor

= (x+1)(x-1)(x+3)(x-3)

You might be interested in
Find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.)
laila [671]
\bf \textit{area of a circle}\\\\
A=\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
A=452.16
\end{cases}\implies 452.16=\pi r^2\implies \cfrac{452.16}{\pi }=r^2
\\\\\\
\boxed{\sqrt{\cfrac{452.16}{\pi }}=r}\\\\
-------------------------------\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\qquad \qquad \implies C=2\pi \left( \boxed{\sqrt{\cfrac{452.16}{\pi }}} \right)

so, is just that product, recall to use "<span>3.1416 as the value of π".</span>
7 0
3 years ago
If n represents the amount of songs stored on a MP3 player, analyze the meaning of the expressions n + 7, n - 2, 4n, and n/2
Alex17521 [72]
N+7 - 7 more songs added
n-2 - 2 songs deleted (subtracted)
4n - 4 times more songs than before
n/2 - the number of songs cut in half (divided by 2)
8 0
3 years ago
Simplify sqrt 244x + sqrt 36x - sqrt 25x
Morgarella [4.7K]
First simplify the square roots: 2 \sqrt{61x}+6 \sqrt{x}-5 \sqrt{x}
Then simplify the last two terms: 2 \sqrt{61x}+\sqrt{x}
Since 61 is prime, you can't take a rational root out of it. 
8 0
3 years ago
Stars that are medium-sized are: A. about the size of our sun B. about four times the size of our sun C. less than half the size
aliina [53]
C because the sun is like 100 times bigger than our Earth so if its medium well there we go
8 0
2 years ago
a one year subscription to the monthly magazine cost $ 15.60. The regular newsstand price is 1.95 per issue. How many is saved p
yarga [219]

Answer: $0.65

Step-by-step explanation:

Amount for the magazine in a regular newsstand for one year:

1.95*12=$23.4

Amount saved per issue with subscription:

(23.4-15.60) ÷ 12 = $0.65 per issue is saved with a subscription

3 0
2 years ago
Other questions:
  • A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any
    11·1 answer
  • The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Expres
    13·1 answer
  • Is my answer correct? If not, please tell me the correct answer and explain. Thanks in advance!
    11·1 answer
  • 45-29it is hard I get comefused
    7·1 answer
  • What factors do the numbers 12 and 18 have in common?
    15·1 answer
  • Plz answer<br> WILL GIVE BRAINLIEST
    15·2 answers
  • Fill in the two missing boxes?
    6·1 answer
  • Adding and subtracting unlike denominators 3/4+ 2/5​
    14·2 answers
  • Help with this please
    14·1 answer
  • What is the factored form of the following expressions?<br><br> x2 – 10xy + 24y2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!