Question

Help pls?? fan n medal ftw

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Answer 1

The question isn't complete

Answer 2

Please provide the instructions that came with this expression. What's your goal?

Can you factor one or both of the denominators?

Answer 3

srry....."Combine as indicated by the signs."

Answer 4

make the denominators same

Answer 5

how would i do that??

Answer 6

factor both denominators if possible.

Determine the lowest common denominator (LCD).

Use the LCD to combine these fractions.

Answer 7

Hint: factor the denominator of the first fraction first. Do the factors have anything in common with the denominator of the second fraction?

Answer 8

yes. 'y' and 3*3 = 9

Answer 9

\[y^2-9=y^2-3^2\] is the "difference of two squares."

Can y ou factor this? look at y^2 - 3^2 as a whole and come up with 2 factors.

Answer 10

\[a^2-b^2=(a-b)(a+b)\]

Answer 11

sooooo (y-3)(y+3)??

Answer 12

Very good. Compare these two factors to the den. of the 2nd fraction. Describe your observations.

Answer 13

cancel out the y+3

Answer 14

Can't. The idea here is to change the 2nd fraction so that its denom. is the same as that of the first fraction.

Answer 15

How would you do that?
\
On the left you have the den. \[(y-3)(y+3). \]

Answer 16

On the right you have the denom. y+3. What's missing there?

What are you going to do about it?

Answer 17

the right already has the y+3 so all i need to get is the y-3

Answer 18

lol.......ummm.... -1?

Answer 19

Yes. the 2nd fraction is \[\frac{ 5 }{y+3}\]

Answer 20

Put that y+3 inside parentheses.
Next, multiply numerator (5) and den. (y+3) by (y-3). Results?

Answer 21

if i did it right...... 5/9y? or 5/ y+9

Answer 22

The second fraction is \[\frac{ 5 }{ y+3 }.\]

Answer 23

I was asking you to multiply the numerator (5) by (y-3), and also to mult. the denom. (y+3) by (y-3).

Please do that now. Results?

Answer 24

ohh srry........ 5y-3/y+9
srry im horrible at math

Answer 25

Here's what you've typed in: 5y-3/y+9

Here's what we should have: 5(y-3)
-----------
(y+3)(y-3)

Your numerator would be better if you'd enclose that (y-3) inside parentheses.

Answer 26

Be certain you understand what I've done here; this is important. The goal was to make the denominators of the 2 fractions the same.

Answer 27

We now have

\[\frac{ 4 }{( y-3)(y+3) }+\frac{ 5(y-3) }{ (y+3)(y-3) }\]

Answer 28

I know they have to b the same, it getting them the same thats the problem for me..... but i understand. I kinda remember going ove the perfect squares and factoring with my teacher

Answer 29

Are the denominators now the same?

Answer 30

now I just work that out right?

Answer 31

switched around........?

Answer 32

That switch of order doesn't matter here.

The dens. really are the same, mathematically.

Can you multiply out 5(y-3)?

Answer 33

would it b 5y-15?

Answer 34

yes, it would

Answer 35

and therefore, our \[\frac{ 4 }{( y-3)(y+3) }+\frac{ 5(y-3) }{ (y+3)(y-3) }\]

Answer 36

becomes\[\frac{ 4 }{( y-3)(y+3) }+\frac{ 5y-15 }{ (y+3)(y-3) }\]

Answer 37

then i add em right?

Answer 38

Can you now add these 2 fractions together? Yes, you do "add em."

Answer 39

so.... ummmmm
5y-11/...... (y-6)(y+6)?

Answer 40

Look at the numerators: You have 4 + 5y -15. Yes, you have added these correctly.
But why have you changed (y-3)(y+3) to (y-6)(y+6)?

Answer 41

so i dont add those of course they r denominators. srry wasnt thinking those stay the same right?

Answer 42

the denominators stay exactly the same.

Note that \[(y-3)(y+3)=y^2-3^2=y^2-9\]

Answer 43

Please write your final result here. No need to multiply out the denoms.

Answer 44

5y-11/ (y-3)(y+3)
or
5y-11/y^2 -9

Answer 45

the bottom one right?

Answer 46

It would be right if you'd please enclose the 5y-11 inside parentheses.

Answer 47

(5y-11)/ y^2 -9

Answer 48

Great. This is the answer you wanted. You have combined the 2 fractions.

any questions?

Answer 49

I understand it more than I did earlier thanks!!

Answer 50

Please practice this. See whether you can copy down the given problem and combine the 2 frac tions into one on your own. Hope to work with you again soon.