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Problem

Factor. $$ t^{3}+729 $$

00:47

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82

Problem 21 Easy Difficulty

Factor.
$$
n^{3}+512
$$

Answer

$(n+8)\left(n^{2}-8 n+64\right)$

Related Courses

Algebra

Elementary and Intermediate Algebra

Chapter 6

Factoring and Quadratic Equations

Section 5

Factoring the Sum and Difference of Two Cubes

Related Topics

Equations and Inequalities

Quadratic Functions

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00:46

Factor completely.
$$n^…

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Factor.
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00:29

Factor completely.
$$2 …

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Factor.
$$
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00:49

Factor completely.
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Factor.
$$12 n^{2}-48$$…

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Factor each expression.

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Factor.
$2 x^{2 n}+5 x^…

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Factor completely.
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Watch More Solved Questions in Chapter 6

Problem 1

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Problem 9

Problem 10

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Problem 12

Problem 13

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Problem 15

Problem 16

Problem 17

Problem 18

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Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

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Problem 70

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Problem 79

Problem 80

Problem 81

Problem 82

Video Transcript

Okay, so we're asked back there. Well, we know that 512 is a perfect cube of H two yet and cubed plus eight. Cute. Now, by the sum of two cubes, we have the fallen formula. So let's fill in what we know. You know that and is you go to F and eight is equal to l. So our equation comes and plus eight times f squared, which is n squared. So that's scored minus off at times all which is it. And plus outscored, which is eight squared. Eight square is equal to 64 so you haven't fallen.

We have video lessons for 94.35% of the questions in this textbook

Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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Top Algebra Educators

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Missouri State University

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Absolute Value - Example 1

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Absolute Value - Example 2

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00:46

Factor completely.
$$n^{3}+125$$

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Factor.
$$
3 n^{2}+12 n+12
$$

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Factor completely.
$$2 n^{2}-11 n+12 \quad[5.4]$$

00:46

Factor.
$$
n^{3}+1
$$

00:49

Factor completely.
$$32 n^{5}-200 n^{3}$$

01:17

Factor.
$$12 n^{2}-48$$

00:40

Factor each expression.
$$
4 n^{2}-8 n+3
$$

01:33

Factor.
$2 x^{2 n}+5 x^{n}-12$

00:59

Factor completely.
$$125 m^{3}-27 n^{3}$$

00:23

Factor completely.
$$n^{2}-121$$

Additional Mathematics Questions

00:50

Factor.
$$
n^{3}+512
$$

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a. the sum of two cubes
b.…

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00:24

Find the GCF of each list of terms.
$$
4(x+7), 9(x+7)
$$

evaluate-each-polynomial-for-a-2-and-b3-see-example-4-4-a-b2

00:42

Evaluate each polynomial for $a=-2$ and $b=3 .$ See Example 4.
$$
4 a …

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Complete each solution to solve the equation.
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\begin{aligned}
&a…

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01:16

Construct a table of solutions and then graph the equation. See Examples $5-…

$multiply-see-example-2-frac58-t2leftt68-t2right$

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Multiply. See Example 2.
$$
\frac{5}{8} t^{2}\left(t^{6}+8 t^{2}\right…

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00:43

Factor.
$$
x^{2}+10 x+25
$$

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03:10

The surface area of Earth is $1.97 \times 10^{8}$ square miles, the surface …

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