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
lianna [129]
2 years ago
7

Fully factorise X^3 - 100

Mathematics
1 answer:
PIT_PIT [208]2 years ago
5 0

Answer:

(x-10)(x²+10x+100)

Step-by-step explanation:

Given the expression

X^3 - 100

This ca also be expressed as;

X^3 - 100 = X³ - 10³

a³-b³ = (a-b)(a²+b²+ab)

Substitute a = x and b = 10

X³ - 10³ = (x-10)(x²+10²+10x)

X³ - 10³ = (x-10)(x²+10x+100)

Hence the factored form is (x-10)(x²+10x+100)

You might be interested in
For every 10 students there needs to be 1 chaperone during the trip to the 5 museum. Which of the following ratios does not repr
kipiarov [429]
1:10 does not represent the students to chaperone ratio because for every 10 students, there must be one chaperone.
6 0
3 years ago
Does anyone know how to do this? will give brainiest
lyudmila [28]

Answer:

x = 22, and im rlly sry, i dont know how to solve for y...im sry...

Step-by-step explanation:

180 - 55 = 125 degrees

so

6x - 7 = 125

<u>      +7     +7</u>

6x = 132

divide by 6

<u>x = 22</u>

5 0
3 years ago
What is the product in lowest terms?
Alisiya [41]
-5/12 × 8/13

First, we need to start out by applying the multiplication rule towards fractions. If you haven't learned or don't remember the rules, you can always look up fraction rules. The rule is: a/b × c/d = ac/bd. Basically, we are combining the numerators and both of the denominators.
- \frac{5 \times 8}{12 \times 13}

Second, let's now multiply what we have in the fraction. (5 × 8 = 40) and (12 × 13 = 156). Doing so will create a new fraction for us to use.
-\frac{40}{156}

Third, now obviously, we can simplify the fraction we just got into lower terms. To do that, we have to collect the greatest common factor (GCF) of both the numerator and denominator and list their factors to find the common factor that is the greatest.

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Factors of 156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Out of the listed factors, which of those are the common ones? 1, 2, and 4 are the common factors. Since we are looking for the greatest common factor, it would be 4 since that is the higher number out of the commons. The GCF is 4.

Fourth, we can now divide our numerator (40) and our denominator (156) by the GCF we just found out, which was 4. 
40 \div 4 = 10  \\ 156 \div 4 = 39

Fifth, our last step is to create our new simplified fraction. All we have to do is take our new numerator and denominator to see the fraction. 

Answer in fraction form: \fbox {-10/39}
Answer in decimal form: \fbox {-0.2564}
4 0
3 years ago
Solve for d.<br> d•3/10=1/4
vladimir2022 [97]

Answer:

5/6

Step-by-step explanation:

Multiply both sides of equation by 10/3.

d = 1/4 × 10/3

d = 10/12 = 5/6

7 0
3 years ago
Read 2 more answers
The angles of o triangle are in<br>the ratio2: 3: 5<br> Find all the angle in grade<br>​
Usimov [2.4K]

Answer:

2x + 3x + 5x = 180

10x = 180

x = 18

2x = 36, 3x = 54, 5x = 90

They add up to 180 (definition of sum of angles of a triangle.)

Step-by-step explanation:

#g o o g l e

8 0
3 years ago
Other questions:
  • Bryson buys a bag of 64 plastic miniature dinosaurs.could he distribute them equally into six storage containers and not have an
    6·1 answer
  • Find the product<br> 5/8 of 24<br> A. 8<br> B.15<br> C.11<br> D.9
    9·2 answers
  • Exponential functions help a girl out please
    11·1 answer
  • Solve each equation.<br>1) 4 - 3(1 -4n) = -83​
    9·1 answer
  • Name the property illustrated by (3c x 6)2=3c(6 x 2)<br> BRAINLIEST REWARD!!!
    6·1 answer
  • Find the missing endpoint if K is the midpoint of segment LM. L(-9, 4) and K(2, -1); Find M.
    13·1 answer
  • Find GH<br><br>please help :3​
    6·1 answer
  • If f(x) = x2, which equation represents function g?
    10·2 answers
  • 1 of 5
    7·2 answers
  • What is an equation for the linear function whose graph contains the points (2, 5) and (3, 0)?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!