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Problem

Perform the operations. $$ 3 r^{4}-4 r+7 r^{4} $$

00:49

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Julie S.

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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 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120 Problem 121 Problem 122

Problem 72 Hard Difficulty

Perform the operations.
$$
\text { Subtract }\left(-4 w^{3}+5 w^{2}+7.6\right) \text { from }\left(w^{3}-15 w^{2}\right)
$$

Answer

$=5 w^{3}-20 w^{2}-7,6$

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Algebra

Elementary and Intermediate Algebra

Chapter 5

Exponents and Polynomials

Section 5

Adding and Subtracting Polynomials

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Exponents and Polynomials

Polynomials

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Video Transcript

we're being asked to subtract negative four w to the third plus five w squared plus 7.6 from W to the third minus 15 w squared. Well, because we're being asked to subtract the first polynomial from the second, I'm going to use vertical form to do this. And when I do, the second polynomial is actually going to go for the first row. So we're gonna have w to the third minus 15 w square. And that means our first polynomial is going to go in the second row. So we're going to subtract the first polynomial, which was negative for W to the third plus five w squared plus 7.6. Well, one subtracting Paulino meals. Remember, We're going to need to change the sign of each of the terms in that second row. So here's what's gonna happen. Our first row is going to stay the same. It's going to stay w to the third, minus 15 w square. And again, what we need to do is change each of the signs within that prophecy so that negative four w to the third is going to become positive for W to the third. The positive. Five w Squared will become negative. Five w squared and the positive 7.6 will become negative 7.6. And now we can go ahead and combine our like terms when in each call. So let's look at the first call we have w to the third plus four w to the third. Remember, there's an imagine everyone in front of that W to the third. Well, one plus four is five, so we have five w to the third. In the second call, we have negative. 15 w squared minus five w squared. Well, negative 15 minus five is negative. 20. So you have negative 20 w squared. And then the last call. We have negative 7.6. So because there's nothing else, we just need to bring down negative 7.6. So our final answer is five W to the third minus 20 w squared minus seven points

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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