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Problem

The factorization of $y^{3}+27$ is $(y+3)\left(y^…

00:34

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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 9 Medium Difficulty

Use multiplication to determine if the factorization is correct.
$$
b^{3}+27=(b+3)\left(b^{2}+3 b+9\right)
$$

Answer

No

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

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Problem 15

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Problem 51

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Video Transcript

in case you were asked to use multiplication too determined if this factory's ation is correct, so we're gonna four old room. So let's start with B and multiply each country So we get be cubed and then plus three e squared Plus 90 and it's due to falling and then get plus three B squared plus nine B plus 27. And then combining is we have one Be huge to be squared. That's six p squared plus 90 is 18 beav close 27. Well, that's certainly not the same as be cubed plus 27. So this factory is a shin is not correct.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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$$

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