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
jeka94
3 years ago
6

Use the identity below to complete the tasks: a3 − b3 = (a − b)(a2 + ab + b2) When using the identity for the sum of two cubes t

o factor 125q6 − r6s3. What is a? What is b?
Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0

Answer:

a=5q^ {2}

b=r^{2}s

Step-by-step explanation:

Here 125q^{6} is like the a^{3} in the general formula.

So we can write 125q^{6} as:

(5q^ {2} )^{3}

We can also write r^{6} s^{3} as:

(r^{2}s)^{2}

Therefore:

a³=(5q^ {2} )^{3}

b²=(r^{2}s)^{2}


RUDIKE [14]3 years ago
7 0

Answer:

a = 5q²

b = r²s

Step-by-step explanation:

The given identity is a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})

we have to use this identity to factor of two cubes given as [tex]125q^{6}-r^{6}s^{3}=(5q^{2})^{3}-(r^{2}s)^{3}[/tex]

As this expression is in the form of a³- b³

Here a is 5q² and b is r²s.

You might be interested in
Let Y be a random variable with a density function given by
Neporo4naja [7]

From the given density function we find the distribution function,

F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y

(a)

F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)

\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1

\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}

(b)

F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y

\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2

\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}

(c)

F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})

\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3

\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}

5 0
3 years ago
The Hansen brother made "m" amount of money
vladimir1956 [14]

m/4 "m" divided by 4

this is it

5 0
2 years ago
When the stranger came into the forest, 37 percent of the people ran to hide. If 2520 refused to hide, how many people lived in
STALIN [3.7K]
Is 37% Ran to hide then 63% refuse to hide

63/2520= 37/X
63x= 93240
Divide by 63
X= 1480 Ran to hide
2520+1480=4,000 total --------------
4,000 people lived in the forest
7 0
3 years ago
The table shows the heights and the lengths of several rectangles.
Harman [31]

Answer:

Weak Positive Correlation

Step-by-step explanation: I think that’s correct not 100 percent sure

8 0
2 years ago
Please help asap !!!!!
Natasha2012 [34]

Answer:

<em>XY = 92 units</em>

Step-by-step explanation:

<u>Similar Shapes</u>

Two shapes are similar if all their corresponding side measures are in the same proportion.

The triangles UVW and YVX are similar because their side lengths are in the proportion 1:2, given the tick marks provided in the drawing.

This means that the measure of VX is twice the measure of VW,

The measure of YV is twice the measure of UV

The measure of XY is twice the measure of UW

This last proportion gives the equation:

z + 46 = 2z

Solving for z:

z = 46

Thus, XY = z+46 = 92

XY = 92 units

6 0
3 years ago
Other questions:
  • Part 2: Solve the system using the substitution method. Show all work here and indicate the solution for the system as an ordere
    9·1 answer
  • The sum of the length l and 19
    11·1 answer
  • Add.<br> Question 4<br> 3/8x^3 + 7/2x
    9·1 answer
  • 5(5t-2) = -35<br><br>show how to solve the given equation ​
    5·1 answer
  • How do you put 0.5, 1/5, 0.35, 12/25, 4/5 in order from least to greatest
    6·1 answer
  • Will mark brianliest and plz hurryyyyy
    6·1 answer
  • Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation.
    9·1 answer
  • Note: Figure not drawn to scale.
    12·1 answer
  • Need a quick answer please
    5·1 answer
  • I need help with this .<br>use the name of the graph to name the function ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!