Problem

Subtract $\left(32 x^{2}-17 x+45\right)$ from the…

03:20

Problem 65 Hard Difficulty

Subtract $\left(3 x^{2}+4 x-7\right)$ from the sum of $\left(-2 x^{2}-7 x+1\right)$ and $\left(-4 x^{2}+8 x-7\right)$

Answer

$$-9 x^{2}-3 x+1$$

Related Courses

Algebra

Elementary and Intermediate Algebra

Chapter 5

Exponents and Polynomials

Section 5

Adding and Subtracting Polynomials

Discussion

You must be signed in to discuss.

Top Algebra Educators

Watch More Solved Questions in Chapter 5

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

Video Transcript

in this problem. We're being asked to subtract the quantity of three X squared plus four X minus seven from the some of the quantity of negative two X squared minus seven X plus one and thank you for X squared plus eight X minus seven. So what we first need to do is read to need to write an expression to represent the sentence while are two key freezes for this problem is the fact that we're subtracting from and the fact that we're doing a some All right, Well, because we're subtracting that first polynomial from the some of the second to Paolino, meals were going to actually write the second the subtraction, part second. So when other words we're going to write are some first, So we're gonna add up the second in the third Polly, no meals, and then we're going to subtract our original probably no meal. So to write this out, we're gonna write are some first. So we're gonna have the quantity of negative two X squared minus seven x plus one plus the quantity of negative four X squared plus eight X minus seven and then we're going to subtract the quantity of three X squared plus four X minus seven. So, again, if you know this, if I put my summon a bracket here So this is my son and I'm subtracting that polynomial three x squared plus four x minus seven by this sum. Now we simply need to simplify this expression well, in our 1st 2 falling all meals, those are being added so we can simply take all of those terms out of their preface is so, in other words, will have just negative two X squared minus seven X plus one minus four X squared plus eight X minus seven. Now for the polynomial that's getting subtracted, we essentially just need to change the sign of each of those terms. And then we can drop the parentheses. So, in other words, that positive three X squared will become negative. Three. X word. The positive for X will become negative for X, and the negative seven will become positive seven. And now we simply need to combine like terms. So let's start with our first term, which is negative. Two. X squared. Well, it's light terms are negative for X squared and negative. Three. X squared. Well, negative to minus four is negative. Six and negative six. Minus three is negative. Nine. So we'll be left with negative nine X squared. Our next term is negative. Seven x. While it has, like terms of positive a ducks and negative for X well, negative seven plus eight is positive. One and positive, one minus for his negative three. So we'll have negative three X, and our last term is positive. One. Well, it has, like, terms of negative seven and positive. Seven. Well, one minus seven is negative. Six. And negatives. Excuse me. Negative six plus seven is positive one. So what? Plus one. So our final answer is negative. Nine X squared minus three x plus one.

Get More Help with this Textbook