Question

factor -6^4y^5-15x^3y^2+9x^2y^3

Answer 1

\[-6^4y^5-15x^3y^2+9x^2y^3\]

Answer 2

Idk how to medal, but I will if you tell me how

Answer 3

look for the GCF (greatest common factor) for the 3 terms

Answer 4

Do you want step by step instructions or just the answer?

Answer 5

both

Answer 6

first look ate the 3 numbers -6 , -15 and 9 - what number will divide into each of theses?

Answer 7

3

Answer 8

No direct answers please

Answer 9

three is the number that will divide evenly into the three numbers.

Answer 10

yes now look at the x terms

Answer 11

-15x, and 9x?

Answer 12

is there an 'x' in each term?

Answer 13

yes all three, nevermind

Answer 14

6x, 9x, and -15x

Answer 15

is there a mistake in the first term should it be 6x^4y^5 ?

Answer 16

yes

Answer 17

sorry

Answer 18

\[-6x^4y^5-15x^3y^2+9x^2y^3\]

Answer 19

OK
so we need the GCF of x^4 , x^3 and x^2

Answer 20

how do I find that?

Answer 21

look at the lowest, x^2 - will it divide into x^3 and x^4?

Answer 22

yes

Answer 23

i think

Answer 24

so thats your GCF

now what about the terms in y?

Answer 25

how do I divide the x terms

Answer 26

im sorry, im lost

Answer 27

in alg

Answer 28

good help though

Answer 29

x^3 / x^2 = x^(3-2) = x
x^4 / x^2 = x^(4-2) = x^2

- one of the laws of indices.

Answer 30

ok, how long does it usually take to solve?

Answer 31

not long once you know the basic rules

Answer 32

ok

Answer 33

so for y^5 , y^2 and y^3 the GCF is y^2

so GCF of the whole expression is

3x^2y^2

now you divide this into the 3 terms - the result goes into parentheses

Answer 34

ok, 3x^2y^2

Answer 35

why 3x

Answer 36

3x^2 - because 3 is gcf of numbers and x^2 is gcf of the x terms

Answer 37

ok

Answer 38

and y6 is gcf for y terms

Answer 39

ok

Answer 40

so it would be 3x^2y^6 ?

Answer 41

so first divide -6x^4y^5 by 3x^2y^2 we get -2x^2y^3

Answer 42

ok

Answer 43

no its y^2 because thats the gcf of the y terms

Answer 44

so we have
3x^2y^2 ( -2 x^2y^3 )

and there are 2 more terms to go into the parentheses

Answer 45

ok

Answer 46

the second one is -15 x^3 y^2 / 3 x^2 y^2
what does that come to . Try to do the division.

Answer 47

ok

Answer 48

first part is -15 ? 3 = -5

Answer 49

* -15 / 3 = -5

Answer 50

so-5

Answer 51

sorry, i went to get a pen

Answer 52

right now x^3 / x^2 ?

Answer 53

x^6 ?

Answer 54

x^1.5

Answer 55

not possible

Answer 56

idk

Answer 57

No you are DIVIDING so you SUBTRACT the exponents

x^3 / x^2 = x^(3-2) = x^1 = x

Answer 58

oh! when you divide variables, you subtract exponents?

Answer 59

yes
and when yo MULTIPLY variables you ADD exponents

Answer 60

ok!!! thanks!

Answer 61

y^2 / y^2 is 1 of course because when you divide something by itse;f anwser is always 1

Answer 62

correct

Answer 63

so the second term in the parentheses is -5x

Answer 64

ok

Answer 65

so 2x^2y^3+5x?

Answer 66

so we have

3x^2y^2 ( -2 x^2y^3 - 5x )

Answer 67

ok

Answer 68

try and get the third term its + 9x^2y^3 / 3x^2y^2

Answer 69

9 / 3 =
x^2 / x^2 =
y^3 / y^2 =

Answer 70

9/3 is 3

Answer 71

x^2/x^2 is x

Answer 72

no its 0

Answer 73

NO

Answer 74

its 1

Answer 75

oh ok

Answer 76

so 3, 1, and y

Answer 77

well you needn't put the 1 .

its + 3y

Answer 78

ok

Answer 79

- thats the last term in the parentheses.

Answer 80

ok

Answer 81

thank you! how do I medal?

Answer 82

so thats it

Answer 83

press Best Response

Answer 84

ok, i did! :)

Answer 85

I like ur name!! lol

Answer 86

i like yours!

Answer 87

see ya later fella!

Answer 88

ok bye

Answer 89

lol

Answer 90

bye:)