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
Arturiano [62]
3 years ago
6

Which expression is a sum of cubes?

Mathematics
2 answers:
valkas [14]3 years ago
8 0

<u>ANSWER</u>

- 27 {a}^{3}  {b}^{6}  + 8 {a}^{9}  {b}^{12}

<u>EXPLANATION</u>

When we can write an expression in the form

{(x)}^{3}  +  {(y)}^{3}

then it is a sum of cubes.

To write a given sum as sum of cubes, then the coefficients of the terms should cube be numbers and the exponents of any power should be a multiple of 3.

This tells us that the first option will be the best choice.

- 27 {a}^{3}  {b}^{6}  + 8 {a}^{9}  {b}^{12}

We can rewrite this as:

{ (- 3)}^{3}  {a}^{3}  {b}^{2 \times 3}  +  {2}^{3}  {a}^{3 \times 3}  {b}^{4 \times 3}

We apply this property of exponents:

({a}^{m} )^{n} =  {a}^{mn}

This gives us

{( - 3a {b}^{2}) }^{3}  +  {(2{a}^{3} {b}^{4}  })^{3}

Therefore the correct option is A

vovangra [49]3 years ago
5 0

Answer:

-27a³b⁶+ 8a⁹b¹²

Step-by-step explanation:

In the expression above -27 is a perfect cube of -3, 8 is a perfect cube of 2.

The exponents of a and b in both terms in the expression are divisible by 3.

The cube root of x, that is ∛xⁿ=x∧(n/3) where n is an integer.

You might be interested in
....................................
Delvig [45]

Answer:

why so many periods/dots whatever you wanna call them???

Step-by-step explanation:

Hope you have an amazing rest of your day/week!!!

7 0
3 years ago
How many different arrangements of letters can be formed if the first letter must be W or K​ (repeats of letters are​ allowed)?
Tanya [424]

Answer:

This can vary. Are we doing 4 letter words, 5 letter, etc?

Step-by-step explanation:

6 0
3 years ago
Find the simply interest earned on an investment of $15,000 at a rate of 5.25% for two years.
uysha [10]
Ill show you step by step.

This is what the equation should look like 

Y=Initial value(1+/- Increasing or Decreasing value)^2 Which stands for time

So Y=15,000(1+.0525)^2

So you need to do 1.0525 to the 2nd power Which equals 1.10775625

So now you need to do 15,000(1.10775625)
------------------------------------------------------------------------------------
Which equals <span>16616 rounding to the nearest Ones

16616.3 rounding to the nearest tenth</span>
3 0
4 years ago
Read 2 more answers
Please help me anyone ??????!!!!!
Gnesinka [82]
(2+6)/2 is 4 so the x is 4. C
3 0
3 years ago
victor wants to make a book tower of height 4m. If the thickness of each book is 50 cm how many will he need to make the desired
igor_vitrenko [27]

Answer:

Explained below

Step-by-step explanation:

We know (hopefully) that 100 centimeters is equal to 1 meter.

The expression should essentially be 400/50.

400/50 = 8

Victor would need 8 books to make a tower with the height of 4 meters.

By the way 50 centimeters per book is a pretty hefty book, would be as thick as my hand pointing upwards.

8 0
2 years ago
Read 2 more answers
Other questions:
  • What is 23,009,040 in scientific notation
    14·1 answer
  • In pig race, your pig gets a head start of 3 feet and is running at a rate of 2 feet per second. Your friend's pig is also runni
    10·1 answer
  • Please help me with this question #11
    6·1 answer
  • X^1/4 +3 =0 -Solve the equation. Check your solutions
    15·1 answer
  • The regular price of a new mountain bike is $245.00. This week, the bike is on sale for 15% off. What is the amount of the disco
    5·1 answer
  • What is the slope of the line whose equation is 2y=3x+4
    8·2 answers
  • A shelf can hold 32 pounds of fruit. Each basket weighs 32 ounces. How many baskets can the shelf hold?
    8·1 answer
  • Help with number 14 please :))
    5·1 answer
  • Suppose that an angle is bisected to form two smaller angles that measure (3+30)° and (5+6)° . What is the measure of the origin
    6·1 answer
  • the the close of the day out of food stand the following items remain 7 hotdogs 4 coney dogs 3 bags of chips and 6 bag of peanut
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!