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
ankoles [38]
3 years ago
5

Factorise (x+y)^3- (x^3+y^3) plzzz answer ​

Mathematics
1 answer:
lilavasa [31]3 years ago
5 0

Answer:

\huge \boxed{ \boxed{ \tt 2xy(x + y)}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • factoring
  • PEMDAS
<h3>tips and formulas:</h3>
  • (a+b)³=a³+3a²b+3ab²+b³
  • a³+b³=(a+b)(a²-ab+b²)
<h3>let's solve:</h3>
  1. \sf \: use \: 2nd \: formula \: to \: simplify :  \\  \sf(x + y {)}^{3}  - (x + y)( {x}^{2}  - xy +  {y}^{2} )
  2. \sf factor \: out \: (x + y) :  \\ (x + y )\{(x + y)^{2} - ( {x}^{2}  - xy +  {y}^{2}  \}
  3. \sf simplify :  \\ (x + y {)} \{ {x}^{2}  + 2xy +  {y}^{2}  -  {x}^{2}  + xy -  {y}^{2}  \}
  4. \sf collect \: and \: combine \: like \: terms :  \\ (x + y) \{2xy \}
  5. \sf \: rewrite : \\  2xy(x + y)

and

we are done

You might be interested in
What is the period of the function f(x)=sin(x/3) ?
vitfil [10]
<h3>Answer: 6pi radians</h3>

(this is equivalent to 1080 degrees)

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

Explanation:

f(x) = sin(x/3)

is the same as

f(x) = 1*sin( (1/3)(x-0) )+0

and that is in the form

f(x) = A*sin( B(x-C) )+D

The letters A,B,C,D are explained below

A = helps find the amplitude

B = 2pi/T, where T is the period

C = determines phase shift (aka left/right shifting)

D = determines vertical shift = midline

All we care about is the value of B as that is the only thing that is connected to the period T

--------

Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,

B = 2pi/T

1/3 = 2pi/T

1*T = 3*2pi ... cross multiply

T = 6pi

The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).

6 0
3 years ago
A cube-shaped gift box has a volume of 8 cubic inches what is the side length of the box
mihalych1998 [28]

V = s^3

8 = s^3

8 = 2^3

s=2 inches

6 0
3 years ago
Read 2 more answers
Which equation can be used to solve for x in the following diagram ?
Sliva [168]
C 35+5x=90
5x=90-35
x=55/5
x=11
Hope this helped
4 0
3 years ago
What is the equation of the blue line<br>​
Elis [28]

Answer: y+-1m -1

Step-by-step explanation:

5 0
2 years ago
13. How long will a man take to cover
scoray [572]

7km/ 4km per hour = 1 3/4 hours

3/4 hour = 45 minutes

Total time = 1 hour and 45 minutes.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Malik is going to mow lawns this summer and begins his first week with $35 in his account. If he makes $25 each week, which sequ
    12·1 answer
  • Jillian has $50 that she plans on investing in an account that will double her money every week. This can be represented by the
    13·2 answers
  • Bus A and Bus B leave the bus depot at 4 pm. Bus A takes 15 minutes to do its route and bus B takes 35 minutes to complete its r
    6·1 answer
  • A recipe that makes 8 jumbo blueberry muffins calls for 1 1/2 teaspoons of baking powder how much making baking powder is needed
    5·2 answers
  • A college faculty consists of 400 men and 250 women. The college administration wants to draw a sample of 65 faculty members to
    5·1 answer
  • A line and a point _______ intersect<br><br> 1. Always<br><br> 2. Sometimes <br><br> 3. Never
    7·1 answer
  • Ms. Clark earned $32,550 in her third year as a banker and $34,150 in her seventh year. How much did she make in her tenth year?
    9·1 answer
  • Do anyone want to help me with this one if not its ok.
    14·1 answer
  • You can read 45 pages of your new book in 2 hours. how much an you read in 3
    10·1 answer
  • Plsss i need answer for this​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!