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frozen [14]
2 years ago
14

Show that x³ + y³ + z³ - 3xyz is a multiple of x+y+z

Mathematics
1 answer:
White raven [17]2 years ago
7 0

x³ + y³ + z³ - 3xyz is a multiple of x+y+z.

<h3>What is a multiple?</h3>

It should be noted that a multiple simply means a number that van be divided by another a certain number if times without a remainder.

Put x + y + z = 0

= x³ + y³ + z³ - 3xyx

= 0(x² + y² + z² - xt - yz - zx)

= x³ + y³ + z³ - 3xyz = 0.

x³ + y³ + z³ = 3xyz

Learn more about multiples on:

brainly.com/question/251701

#SPJ1

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Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,00
mr_godi [17]

Answer:

16 pots

Step-by-step explanation:

We first need to find out the amount of dirt that can be filled into a single flowerpot.

We use the formula to find the cylinder's volume.

πr^{2}* h

Height is equal to ten, Radius is equal to 7.

49π * 10

≈ 1539.38

25,000 divided by 1539.38

≈ 16.24

He can fill 16 pots fully.

5 0
3 years ago
Circle D was dialated to form circle D'. The diameter of circle D is 5 units and the diameter of circle D' is 15 units. What is
Sphinxa [80]

Answer:

Let A1 be original area

A2 dilated Area

A1=pi*d^2/4

=3.143*5^2/4

A1=19.63 unit square

A2= 3.143*15/4

A2=176.74 unit square

A2 is 9 times greater than A1

Hence the answer is B

Step-by-step explanation:

3 0
3 years ago
Can someone please help me?
Yuri [45]
The answer is 112 you have to add each of the sides up. There are 4 triangles 6x4 is 24 so 24x4 because there are 4 triangles and there is 1 square and if all of the sides are the same then it is 4x4 which is 16. Then you have 112 because, 24 x4 is 96 pulse 16 is 112
5 0
3 years ago
This is stupid but if I have 90x how do I get 90?
Marrrta [24]

Answer:

you should subtract x.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The bisector of an obtuse angle forms:acute anglesright anglesobtuse anglesstraight angles
Lerok [7]
It forms an acute angle.

The obtuse angle is greater than 90 degrees but less than180 degrees. So if a bisector is introduced, the resulting angle is acute. An acute is less than 90 degrees.
7 0
3 years ago
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