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Problem

Complete each factorization. $$ b^{3}+27=(\quad)\…

00:59

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Amy J.

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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 12 Easy Difficulty

Complete each factorization.
$$
x^{3}-1=(x-1)\left(x^{2}+\quad+1\right)
$$

Answer

$(x-1)\left(x^{2}+x+1\right)$

Related Courses

Algebra

Elementary and Intermediate Algebra

Chapter 6

Factoring and Quadratic Equations

Section 5

Factoring the Sum and Difference of Two Cubes

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Equations and Inequalities

Quadratic Functions

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Absolute Value - Example 1

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Absolute Value - Example 2

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00:35

Complete each factorizatio…

02:40

Factor the expression comp…

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Factor the expression and …

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Factor completely.
$x^{…

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Factor completely.
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Problem 16

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Problem 18

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Problem 32

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Problem 46

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Problem 48

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Problem 50

Problem 51

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Problem 53

Problem 54

Problem 55

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Problem 59

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Problem 62

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Problem 82

Video Transcript

Okay, so we're asked to, um, complete each factory ization. So this is a difference of two. Cute. So let me write down the formula for that. We have f Sorry. This is actually three. Do you have minus L Cube is equal to f myself. Times x squared plus us. Oh, plus, all squared. So what we're missing here is the NFL, But what is often a realm, but we know that's based on this r f is equal to x and R l is one cute. So for action, not r o cubed is equal to one cube. So R l is one. So we just have one times x in our f, o and G.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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Absolute Value - Example 1

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Absolute Value - Example 2

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00:35

Complete each factorization.
$$
\begin{aligned}
x^{3}-x^{2}+2 x-2 &…

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Factor the expression completely.
$$
(x+1)^{3} x-2(x+1)^{2} x^{2}+x^{3…

01:15

Factor the expression and simplify.
$$(x+1)^{3} x-2(x+1)^{2} x^{2}+x^{3}(…

00:49

Factor completely.
$x^{3}-x^{2}-x+1$

00:29

Factor completely.
$x^{3}-x^{2}+x-1$

02:27

Factoring Completely Factor the expression and simplify.
$$(x+1)^{3} x-2(…

01:13

Factor and simplify each algebraic expression.
$$(x+3)^{\frac{1}{2}}-(x+3…

00:46

Factor each expression.
$$
3 x^{2}-4 x+1
$$

00:44

Factor and simplify each algebraic expression.
$$x^{\frac{3}{2}}-x^{\frac…

01:10

Factor and simplify each algebraic expression.
$$\begin{aligned}
&…

Additional Mathematics Questions

complete-each-factorization-a38a2lefta2-4right

00:56

Complete each factorization.
$$
a^{3}+8=(a+2)\left(a^{2}- +4\right)

for-each-pair-of-equations-determine-whether-their-graphs-are-parallel-perpendicular-or-neither-16

01:10

For each pair of equations, determine whether their graphs are parallel, per…

find-the-gcf-of-each-list-of-numbers-1824

00:34

Find the GCF of each list of numbers.
$$
18,24
$$

describe-how-the-graphs-of-the-solutions-of-these-systems-are-similar-and-how-they-differ-left

05:44

Describe how the graphs of the solutions of these systems are similar and ho…

construct-a-table-of-solutions-and-then-graph-the-equation-see-examples-5-7-yx32

01:30

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

multiply-see-example-1-3-yleft7-y2rightleft-y4right

00:31

Multiply. See Example 1.
$$
(3 y)\left(7 y^{2}\right)\left(-y^{4}\righ…

multiply-see-example-1-left2-x2-y3rightleft4-x3-y2right

00:36

Multiply. See Example 1.
$$
\left(2 x^{2} y^{3}\right)\left(4 x^{3} y^…

set-5-x4-equal-to-0-and-solve-for-x

02:53

Set $5 x+4$ equal to 0 and solve for $x$.

fill-in-the-blanks-a-x364-y3quad3quad3-b-8-x3-27quad3-quad

00:49

Fill in the blanks.
a. $x^{3}+64 y^{3}=(\quad)^{3}+(\quad)^{3}$
b. $8 …

00:53

Factor.
$$
b^{3}+216
$$

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