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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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M is the midpoint of line segment AB
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Answer:

The coordinates of A would be (-1, 2)

Step-by-step explanation:

In order to find this, use the mid-point formula.

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In this, the xA is the x value of point A, xB is the x value of point B, and xM is the x value of M. Now we plug in the known information and solve for xA.

(xA + 5)/2 = 2

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Now we can do the same using the midpoint formula and the y values.

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yA = 2

This gives us the midpoint of (-1, 2)

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3 years ago
if the total value of the coins is 71$ and she has 9 rolls of dimes, how many rolls of nickels does she have?
Zanzabum

Answer:

18 rolls of nickles

Step-by-step explanation:

One roll of dimes would be the same value as 2 rolls of nickles. If she has 9 rolls of dimes, she would have 18 rolls of nickles.

Dont forget to thanks and rate!

4 0
4 years ago
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