Question

15a^2-6a÷5a-2

Answer 1

Is that \[\frac{ 15z ^{2}-6a }{ 5a-2 }\]?

Answer 2

Those should all be a's.

Answer 3

yup

Answer 4

Ok. :) Can you factor anything out of the numerator?

Answer 5

how :(

Answer 6

can you do it for me thats how the question is

Answer 7

By finding common factors.

Answer 8

\[15a ^{2}-6a\]
Do you see that 15 and 6 are divisible by 3?

Answer 9

yup :)

Answer 10

go ahead pliz :)

Answer 11

Cool. :) That means you can factor out a 3.

Answer 12

im listening lol :)

Answer 13

That looks like this
\[3(5a ^{2}-2a)\]

Answer 14

aha

Answer 15

It is like reverse distributing.

Answer 16

Do you see any other common factors?

Answer 17

no , where ?

Answer 18

In the numerator still.

Answer 19

Do you see that there are a's in both terms?

Answer 20

the a's huh

Answer 21

Right.

Answer 22

sure

Answer 23

got ya

Answer 24

You can factor out 1 a.

Answer 25

right

Answer 26

So, can you show me what that looks like?

Answer 27

3(5a-2)

Answer 28

Very close. The a you factored out goes with the 3.

Answer 29

3a(5a-2)

Answer 30

got ya

Answer 31

:) Let's put that back in the original fraction.\[\frac{ 3a(5a-2) }{ 5a-2 }\]

Answer 32

You can cancel out common factors in the numerator and denominator.

Answer 33

3a ?

Answer 34

Perfect! :)

Answer 35

is that the answer :o

Answer 36

You got it!

Answer 37

wow

Answer 38

do i have to pay ya for this :)

Answer 39

u better than all my teachers

Answer 40

Haha, no charge :)

Answer 41

Glad I can help!

Answer 42

im not lying bruh :)

Answer 43

But I do private tutoring if you are interested.

Answer 44

u a nice person :)

Answer 45

where u from thou ?

Answer 46

I'm from America.

Answer 47

i have some other questions before i sleep, hope u will do it for me

Answer 48

I can try.

Answer 49

just 3 of em not much :) u smart thou

Answer 50

Ok. :)

Answer 51

first i thought u were a computer lol :)

Answer 52

Thanks.

Answer 53

Haha! Really?!

Answer 54

yup :)

Answer 55

im glad u human :)

Answer 56

supper human :)

Answer 57

Haha, I'm glad I'm not a computer too!

Answer 58

ok here

Answer 59

64a^4÷32a^10+24a^4

Answer 60

this one kinder clear , but show me first :)

Answer 61

Ok. This time we need to factor the denominator.

Answer 62

Common factors of the denominator:
8a^4

Answer 63

wait , come again pliz

Answer 64

32a^10+24a^4
This is what we need to factor.

Answer 65

So we need to factor out common factors.

Answer 66

ok :/

Answer 67

You can always factor out the least number of the variable in each term.

Answer 68

So, you can factor out a^4.

Answer 69

which is 8 ??

Answer 70

No, that is the a^4 part.

Answer 71

oh ok :)

Answer 72

:)

Answer 73

Let's factor out a^4 first.

Answer 74

a^4(32a^6+24)

Answer 75

Making sense still?

Answer 76

yeah

Answer 77

Great!

Answer 78

That is all the a's we can take out. So, now we need to figure out what numbers we can take out.

Answer 79

32=2*2*2*2*2

Answer 80

right

Answer 81

And 24=2*2*2*3

Answer 82

So, what is common is 2*2*2

Answer 83

which is 8.

Answer 84

@skullpatrol is a allrounder

Answer 85

Still with me?

Answer 86

yup

Answer 87

Yay! :)

Answer 88

yeah pliz :)

Answer 89

u dea ??

Answer 90

So, we can factor out an 8 too.
8a^4(4a^6+3)
(Short technical difficulty)

Answer 91

Make sense?

Answer 92

aha

Answer 93

yeah

Answer 94

Cool. So now we can put the fraction back together.

Answer 95

\[\frac{ 64a ^{4} }{ 8a ^{4} (4a ^{6}+3)}\]

Answer 96

And cancel out any common factors from the top and bottom.

Answer 97

See any?

Answer 98

yeah