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STatiana [176]
3 years ago
6

Factor completely: 1331x^3 - 729y^3

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer:

(11x - 9y) (121x² + 99xy + 81)

Step-by-step explanation:

Difference of cubes

∛1331x³ = 11x = a

∛729y³ = 9y = b

(a³ + b³) = (a + b) (a² - ab + b²)

(a³ - b³) = (a - b) (a² + ab + b)

(1331x³ - 729y³) = (11x - 9y) (121x² + 99xy + 81)

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Josiah downloads 44 songs including 16 songs by his favorite band. Express as a decimal the number of songs by his favorite band
marin [14]
Using a calculator, 16/44 = 0.363636363636363636... it goes on and on. It is repeating. If it was terminating, you would see the end.

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Otherwise, you can round it.

4 0
3 years ago
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What is the following quotient? 1 divided by 1+ square root 3
ollegr [7]

Answer:

4th option

Step-by-step explanation:

The given expression is:

\frac{1}{1+\sqrt{3}}

In order to simplify this expression we have to multiply and divide it with the conjugate of the denominator i.e multiply and divide the entire expression with 1-\sqrt{3}, as shown below:

\frac{1}{1+\sqrt{3}}\\=\frac{1}{1+\sqrt{3}} \times \frac{1-\sqrt{3}}{1-\sqrt{3}}\\=\frac{1-\sqrt{3}}{(1)^{2}-(\sqrt{3})^{2}}\\\\ =\frac{1-\sqrt{3}}{1-3}\\\\ =\frac{1-\sqrt{3}}{-2}\\\\ =\frac{-1(1-\sqrt{3})}{2}\\\\ =\frac{-1+\sqrt{3}}{2}

Thus, 4th option gives the correct answer.

5 0
3 years ago
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The ratio of collectible cards Kyle owns to cards that Zeona owns is 3:2. Zeona has 36 cards. How will the ratio of Kyle’s cards
blsea [12.9K]

Answer:

It wouldn't.

Step-by-step explanation:

With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.

4 0
3 years ago
Complete the square for each expression. write the resulting expression as a binomial squared. x2-4x ___
Elan Coil [88]
-4/2=-2
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the blank is +4

x^2-4x+4
factored
(x-2)^2
7 0
3 years ago
40 points!!! please tell me how to do it not what the answer is :D
Julli [10]

Answer:

C

Step-by-step explanation:

You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!

5 0
3 years ago
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