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
topjm [15]
3 years ago
7

Factor the expression. ( q2 − r2s) ( q4 + q2r2s + r4s2)

Mathematics
2 answers:
Natalija [7]3 years ago
4 0

Answer:

(q^2-r^2s)(q^4+q^2r^2s+r^4s^2)=q^6-r^6s^3

Step-by-step explanation:

Given : Expression (q^2-r^2s)(q^4+q^2r^2s+r^4s^2)

To find : Factor the expression?

Solution :

The given expression (q^2-r^2s)(q^4+q^2r^2s+r^4s^2) is the factored form of q^6-r^6s^3  

Now, We solve to get the form

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

Taking RHS and compare with the given expression        

(q^2-r^2s)(q^4+q^2r^2s+r^4s^2)    

Where, a=q^2,b=r^2s

=(q^2)^3-(r^2s)^3

=q^6-r^6s^3

Therefore, (q^2-r^2s)(q^4+q^2r^2s+r^4s^2)=q^6-r^6s^3

melomori [17]3 years ago
3 0

(5q2 − r2s)(25q^4+5q^2r^2s+1r^4s^2)

You might be interested in
Mr.Richards saved $37 by buying his sneakers at the outlet store. He paid $3 less than half the original price of the sneakers.
nordsb [41]
Mr Richards paid 80 dollars
7 0
3 years ago
Read 2 more answers
Find the area of the shape shown below.
hichkok12 [17]

Answer:

26.75 units ^2

Step-by-step explanation:

Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:

Triangle 1 = 1/2 x 2 x 5 = 5 units ^2

Triangle 2 = 1/2 x 2 x 2 = 2 units ^2

Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2

Square = 2 x 2 = 4 units squared.

Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.

Hope this helps

6 0
3 years ago
What is the answer to how does a digit in the 10,000s place compared to a digit in the thousands place
katrin [286]
The ten thousands place is bigger compared to a digit in the thousands place. Lets say I have 60,000 cookies and you have 6,000 cookies. My number is bigger.
5 0
3 years ago
Read 2 more answers
You are buying a house that cost 650,000 and you put down a down payment. you take out a loan for the remainder of the amount, o
gayaneshka [121]
<h3>Answers:</h3>

Monthly Payment = $4,702.68

Total Payments = $846,482.40

Interest = $261,482.40

Delete the dollar signs and/or commas if needed.

=====================================================

Explanation:

The down payment is 10% of the home's value

This means that the buyer pays $65,000 up front (since 0.10*650,000 = 65,000).

The remaining 650,000 - 65,000 = 585,000 dollars is loaned in the mortgage.

Or you could write it like this 95% of 650,000 = 0.95*650,000 = 585,000

-----------------

The monthly payment formula is

P = (L*i)/( 1-(1+i)^(-n) )

where,

  • P = monthly payment
  • L = amount loaned
  • i = interest rate per month in decimal form
  • n = number of months

In this case,

  • L = 585,000 dollars
  • i = 0.0525/12 = 0.004375 exactly
  • n = 15*12 = 180 months (equivalent to 15 years)

So,

P = (L*i)/( 1-(1+i)^(-n) )

P = (585000*0.004375)/( 1-(1+0.004375)^(-180) )

P = 4702.6846353538

P = 4702.68

The monthly payment is $4,702.68

-----------------

Let's now compute the total amount paid back (principal + interest)

If you pay 4,702.68 dollars per month over the course of 180 months, then you pay back a total of 4702.68*180 = 846,482.40

The total payments add up to 846,482.40 dollars.

-----------------

To compute the interest only, subtract the total payments from the amount loaned.

846,482.40 - 585,000 = 261,482.40 is the amount of interest only.

8 0
2 years ago
ASAP<br><br> Simplify the expression.<br><br> 5 + 6(2x – 3) – 4x
Pani-rosa [81]
8x-13

1. Distribute 6 to both 2x and -3
5+12x-18-4x
2. Combine like terms
8x-13
6 0
3 years ago
Other questions:
  • To prove that objects of different weights fall at the same
    6·1 answer
  • A desk is on sale for 34%  off. The sale price is $363  .What is the regular price? I tried this problem so many times but I kee
    7·2 answers
  • ( Help Please )
    10·2 answers
  • 2529.56068773 Rounded to the nearest ten
    6·1 answer
  • When the smaller of two consecutive integers is added to fourtimes the larger, the result is 29. Find the integers.
    12·2 answers
  • Divide<br> 2/3 divided by 1/6<br> =
    8·2 answers
  • M=3 through (-1,-4) ............ (slope intercept equation)​
    9·1 answer
  • SOLVE RIGHT NOW PLEASE. Determine the solution to the system of equations below by using the ELIMINATION METHOD.
    12·1 answer
  • the mass of your new motorcycle is to 120 Kg on Earth. What is the mass of the motorcycle on the moon?​
    8·1 answer
  • Bat ampanget ko???????????
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!