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
tresset_1 [31]
3 years ago
11

WHAT IS X³-27 SIMPLIFIED

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>(</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>)</u><u>³</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u>(</u><u>3</u><u> </u><u>-</u><u> </u><u>x</u><u>)</u>

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

=  {x}^{3}  -  {3}^{3}

From trinomial expansion:

{(x - y)}^{3}  = (x - y)(x - y)(x - y) \\

open first two brackets to get a quadratic equation:

{(x - y)}^{3}  = ( {x}^{2}  - 2xy +  {y}^{2} )(x - y)

expand further:

{(x - y)}^{3}  =  {x}^{3}   - y {x}^{2}  - 2y {x}^{2}  + 2x {y}^{2}  + x {y}^{2}  -  {y}^{3}  \\  {(x - y)}^{3}  =  {x}^{3}  -  {y}^{3}  + 3x {y}^{2}  - 3y {x}^{2}  \\  {(x - y)}^{3}  =  {x}^{3}  -  {y}^{3}  + 3xy(y - x) \\  \\ { \boxed{( {x}^{3} -  {y}^{3} ) =  {(x - y)}^{3}   - 3xy(y - x)}}

take y to be 3, then substitute:

( {x}^{3}  - 3^3) =  {(x - 3)}^{3}  - 9x(3 - x)

You might be interested in
What is the factored for of x^2-x-2?
Olenka [21]
B because it makes sense
4 0
3 years ago
(1+i/1-i)square root m
dsp73
M to the power 4 squared minus 23
4 0
3 years ago
-3c=15 c = __ help plz
LuckyWell [14K]
You would divide negative 3 (-3) from both sides to keep the c by itself. When you divide a positive by a negative it becomes negative.

Dividing 15 by -3 would equal -5, so c = -5
7 0
3 years ago
Which set of numbers best describes the possible values of x in the equation below?[x-1]=[x] all integer values of x all real nu
SCORPION-xisa [38]

[x] represents floor function also called as Greatest integer function.

Floor function is the function that takes as input a real number and gives as output the greatest integer less than or equal to.

like [1.5]=1

[0.7]=0

[-0.3]=-1

Now we have to find set of x-values which satisfies equation [x-1]=[x]

Due to -1 in [x-1], it always produces output value one less than value of [x]

for example when x=0.5 then [x]=[0.5]=0, [x-1]=[0.5-1]=[-0.5]=-1

when x=1.5 then [x]=[1.5]=1, [x-1]=[1.5-1]=[0.5]=0

when x=3 then [x]=[3]=3, [x-1]=[3-1]=[2]=2

From above results we can see that there is no value of x which satisfies the given equation [x-1]=[x]

Hence there is NO solution.

3 0
3 years ago
Read 2 more answers
1+1 is 2 right? i just have to be sure
netineya [11]

Answer:

Absolutely

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • An item is regularly placed at $87. Laura bought it on sale for 55% off the regular price. How much did Laura pay?
    7·2 answers
  • In how many ways can 12 books be displayed on a shelf if the given number of books are available
    6·1 answer
  • Last year,alex earened a monthly salary of $250, and ben earned a monthly salary of $180. This year, each of them received a pay
    5·1 answer
  • When three pipes fill a pool, they can finish in 12 hours. Two of the pipes can finish in 18 hours if they are working together.
    7·1 answer
  • AB is congruent to CD. Point P is the midpoint of AB, and point Q is the midpoint of CD. Which relationship must be true?
    7·2 answers
  • 3. A warehouse holds 7,140 shoeboxes. Each aisle holds the same number of
    14·1 answer
  • Which is the product of 4^4(4^-7)(4)?
    9·2 answers
  • What percent of 50 is 36?
    12·2 answers
  • Help plz :((<br> I'll give brainliest
    6·1 answer
  • hii im sorry to be a burden but could someone please help me with this problem it has to do with the pythagorean theorem :p
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!