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polet [3.4K]
3 years ago
15

Which of the following is a factor of (x+y)³-(x+y)³

Mathematics
2 answers:
IgorC [24]3 years ago
6 0

▬▬▬▬▬▬▬▬▬▬▬▬▬▬

<h3>Answer :</h3>

The factor of (x + y)³- (x³ + y³) is <u>3xy</u>

<h3>Step By Step Solution :</h3>

→ (x + y)³- (x³ + y³)

→ (x + y) - (x + y)(x² - xy + y²) [Using identity a³ + b³ = (a + b)(a²- ab+ b²)]

→ (x + y)(x² + y² + 2xy - x² + xy - y²)[Using identity, (a + b)² = (a² + b²+ 2ab)]

→ (x + y) (3xy)

→ 3xy

∴ Option d. 3xy is correct!

▬▬▬▬▬▬▬▬▬▬▬▬▬▬

EleoNora [17]3 years ago
5 0

Answer:

(x+y)³= x³+y³+3xy(x+y)

x³+y³+3xy(x+y) - x³-y³

x³ and y³ gets cancelled out, and we are left with

3xy(x+y)

so, we have 3xy as one of our factors.

hope it helps!

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Kyle received the following course grades for 10​ (three-credit) courses during his freshman​ year:
timofeeve [1]

Answer:

(a) The average grade point is 2.5.

(b) The relative frequency table is show below.

(c) The mean of the relative frequency distribution is 0.3333.

Step-by-step explanation:

The given data set is

4, 4, 4, 3, 3, 3, 1, 1, 1, 1

(a)

The average grade point is

Average=\frac{\sum x}{n}

Average=\frac{4+4+4+3+3+3+1+1+1+1}{10}

Average=2.5

Therefore the average grade point is 2.5.

(b)

\text{Relative frequency}=\frac{\text{Frequency of number}}{\text{Total frequency}}

The relative frequency table is show below:

x                 f                  Relative frequency

4                3                 \frac{3}{10}=0.3

3                3                 \frac{3}{10}=0.3

1                 4                 \frac{4}{10}=0.4

(c)

Mean of the relative frequency distribution is

Average=\frac{0.3+0.3+0.4}{3}

Average=0.3333

Therefore the mean of the relative frequency distribution is 0.3333.

4 0
3 years ago
Derive this equation <br>In (3-4Cosx)​
pantera1 [17]

Answer:

4sin(x)

Step-by-step explanation:

That is the new equation hope it helps!

6 0
2 years ago
Please help me answer this question.
Angelina_Jolie [31]

Answer:

A is 10 and B is 35

Step-by-step explanation:

multiply the width or length by 1.25

5 0
3 years ago
I need help finding y
denpristay [2]

Answer:

y = 9.8995

Step-by-step explanation:

This question requires the use of basic trigonometry.

In this problem, we know one of the sides and two of the angles.

Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.

You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.

7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.

Hope this helped!

4 0
3 years ago
“order of operation” anyonee pls help?
NikAS [45]
The answer is 69632 because of PEDMAS
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3 years ago
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