Question

Fan and Medal!
The expression is shown below:

Answer 1

Not sure if it is just me, but I am unable to see your expression : )

Answer 2

\[6a ^{2} - 5ab + 3b - 12\]

Answer 3

now do u see it

Answer 4

The question:
What is the-
a)Term
b)Constant
c)Coefficient

Answer 5

@jim_thompson5910

Answer 6

sorry to ask the question late i was helping another friend

Answer 7

the terms are separated by a + or a -

Answer 8

eg: `x+y-z+w` has four terms: x, y, z, w

Answer 9

the constant is any term that doesn't have a variable attached. It's a single fixed number

Answer 10

oh ok so there are 4 terms and 1 constant in the equation

Answer 11

yes

Answer 12

but what is coefficient

Answer 13

coefficients are the numbers in front of the variables

Answer 14

eg: in `7x`, the 7 is the coefficient

Answer 15

so there are 3 coefficients in the equation

Answer 16

yes

Answer 17

oh ok but its not done

Answer 18

I should have stated that subtraction is the same as adding a negative

so something like `1-2` is the same as `1 + (-2)`

Answer 19

therefore,
\[\Large 6a ^{2} - 5ab + 3b - 12\]
is the same as
\[\Large 6a ^{2} +(- 5ab) + 3b+( - 12)\]

Answer 20

in that second form, we see each term is separated by a +

Answer 21

terms are:
6a^2
-5ab
3b
-12

Answer 22

ok

Answer 23

I'm sure you can see what the constant is

for the coefficients, just list the numbers in front of each variable term

Answer 24

constant is 12

Answer 25

6,
NEGATIVE 5
3

Answer 26

y is it -5?

Answer 27

because the term is -5ab

the number in front is -5

Answer 28

go back to \[\Large 6a ^{2} +(- 5ab) + 3b+( - 12)\]

Answer 29

oh ok now i get it

Answer 30

the constant should be -12 for the same reason

Answer 31

constant=-12
coefficient=6, -5, 3
is that correct?

Answer 32

yep on all 4

Answer 33

thnx but its not done

Answer 34

what else is left?

Answer 35

they said to simplify 2 more expressions by combining like terms

Answer 36

which expressions?

Answer 37

ill show u

Answer 38

\[a) 5x-3-3x+6y+4\]

Answer 39

what are a pair of like terms that you see?

Answer 40

\[b) -8m ^{2} + 9m - 7m ^{2} + n ^{3}\]

Answer 41

the pair of like terms in the first one?

Answer 42

yeah do you see any like terms in the first one?

Answer 43

yes i see two pairs of like terms

Answer 44

ok one pair is what?

Answer 45

5x, 3x

Answer 46

more like 5x and -3x, but you have the right idea

Answer 47

they would combine to ???

Answer 48

u mean add?

Answer 49

yeah, 5x + (-3x) = ??

Answer 50

it's 2x

Answer 51

yep

Answer 52

you'll do the same for the other pair of like terms

Answer 53

what is the other pair

Answer 54

you tell me

Answer 55

look for any terms that have something in common

Answer 56

for the 5x and -3x, they had an x in common

Answer 57

is it -3, 4

Answer 58

yes

Answer 59

yay

Answer 60

they add to what?

Answer 61

is it 1?

Answer 62

yes

Answer 63

and then?

Answer 64

notice how there is only one y term, so there are no like terms for the y terms

all of this means `5x−3−3x+6y+4` simplifies to `2x+6y+1`

Answer 65

oh ok so 2x+6y+1 is the answer or should i evaluate the expression

Answer 66

if you knew the value of x and y, you could evaluate to get a single number

Answer 67

but they didn't provide values for x and y

Answer 68

So for now 2x+6y+1 is the answer, right?

Answer 69

yes

Answer 70

Ok thank u very much u dont have to explain the 2 expression because its almost the same as the first expression

Answer 71

yeah it's very similar so you shouldn't have too much trouble with it

Answer 72

thats it for today thank u very much dude ur the best

Answer 73

just keep in mind that terms with \(\Large m^2\) are NOT like terms with \(\Large m^3\)

they both have m, but different exponents makes them different and unlike terms

Answer 74

same with m and m^2

Answer 75

oh ok thanks for the tips i fanned and i gave u a medal for all three questions thank u very much i will ask u whenever i have a question from now on.