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
kkurt [141]
3 years ago
7

What is the factored form of x^12y^18+1?

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
7 0

Answer:

(x^4y^6+1)(x^8y^{12}-x^4y^6+1)

Step-by-step explanation:

We have been given an expression x^{12}y^{18}+1 and we are asked to factor our given expression.

We will use sum of cubes formula to factor our given expression.

a^3+b^3=(a+b)(a^2-ab+b^2)

Upon using power rule of exponents a^{bc}=(a^b)^{c}, we can write:

x^{12}=(x^4)^3

y^{18}=(y^6)^3

We can write 1 as 1^3 as 1 raised to any power equals 1.

Now we are ready to apply sum of cubes formula.

(x^4y^6)^3+1^3=(x^4y^6+1)((x^4y^6)^2-x^4y^6+1^2)

Upon simplifying right side of our equation we will get,

(x^4y^6)^3+1=(x^4y^6+1)(x^{4*2}y^{6*2}-x^4y^6+1)

(x^4y^6)^3+1=(x^4y^6+1)(x^8y^{12}-x^4y^6+1)

Therefore, after factoring our given expression we get (x^4y^6+1)(x^8y^{12}-x^4y^6+1).

Arte-miy333 [17]3 years ago
6 0
The answer to that is (x^4 y^6+1)(x^8 y^12-x^4 y^6+1
You might be interested in
HELP PLSSSSSS. NEED THIS LAST QUESTION
Masteriza [31]

Answer:

D.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
During the basketball season, Jason scored 43 points. He scored 5 fewer points than three times the number Kevin did. How many p
LenaWriter [7]
Kevin scored 16 pts during basketball season.
3 0
2 years ago
Will mark brainliest
AlekseyPX

E and C. 2:5 and salt:pepper

8 0
3 years ago
an object is launched at 4 ft./s from 88 foot tall platform the objects height H in feet after T seconds is given by the equatio
posledela

Answer:

1.5seconds

Step-by-step explanation:

When the ball hits the ground, the height is equal to zero. So find t when H=0:

H=16t²+8t+80

0=16t²+8t+80

0=2t²+t+10

0=(2t-3)(t+2)

So (2t-3)=0, or (t+2)=0

So t=1.5 or t=-2. Time can't be negative though, so we take our answer as 1.5seconds

8 0
3 years ago
A triangle can be formed with side lengths 2 in, 3 in, and 6 in.<br><br> True or<br> False
Law Incorporation [45]
False, the sides on the left and right are the same length the bottom is not
7 0
3 years ago
Read 2 more answers
Other questions:
  • Multiply the expression and simplify:<br><br> (x -2) (x^2 + 3x -5) *Show all work*
    12·1 answer
  • What is the volume of the prism with a base of 6 height of 5 and lenght of 10
    15·1 answer
  • Find the equation of the linear function h that has h(12)=-7 and that is perpendicular to q(a)=1/2a+38.. I don’t understand how
    8·1 answer
  • The circumference of a circle is 18.84 yards what is the circles diameter
    11·1 answer
  • Jeremiah saving money from a tutoring job after the first three weeks he saved $135 assume the situation is proportional use the
    8·1 answer
  • A kitchen floor has 15 1/2 tiles in an area of 2 2/5 square feet. How many tiles are in one square foot?
    13·1 answer
  • A deck of 40 cards contains 20 blue and 20 red cards. Each color has cards numbered 1 to 20.
    13·2 answers
  • Fran has 18 paperback books and 24 hardcover books. What is the ratio of hardcover to paperback books?
    10·1 answer
  • This one too, again if you dunno it don’t anwser xd
    6·2 answers
  • Plz help me plz <br> I will give brainliest
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!