Question

Factor 4/5s^2-5t^2 completely

Answer 1

Oh yeah, what's that formula again i forgot

Answer 2

difference of squares

Answer 3

http://www.regentsprep.org/regents/math/algebra/AV6/Lfactps.htm

Answer 4

so i make 4/5s^2 as A and -5t^2 as b?

Answer 5

just the coefficients ?

Answer 6

no, they represent \(a^2\) and \(b^2\).

Answer 7

so i put it as (4/5s-5t)(4/5s+5t)?

Answer 8

then foil?

Answer 9

@wio

Answer 10

fist of all, the coefficients should be in square roots

Answer 11

second of all, one you factor you are done. You don't need to foil it back to its original form.

Answer 12

square root of 4/5??

Answer 13

@Jhannybean

Answer 14

@Zale101

Answer 15

can you educate me on this

Answer 16

@Nnesha

Answer 17

yes >?????

Answer 18

how do i factor 4/5s^2-5t^2 using a^2-b^2

Answer 19

@Nnesha

Answer 20

okay so you something common in denominator
what's that ???

Answer 21

\[\frac{ 4 }{ 5s ^{2}-5t ^{2} }\]
first take out common number

Answer 22

it looks like \[\frac{ 4 }{ 5 } s^2 -5t^2 \]

Answer 23

am i suppose to find the square root of 5 and 4/5??

Answer 24

any1?

Answer 25

i guess yes otherwise you cannot factor this

Answer 26

how do i do that?

Answer 27

like wio said
square then it should be like this \[\sqrt{\frac{ 4 }{ 5 }s ^{2}-5t ^{2}}\]

Answer 28

thats the final factored form?

Answer 29

nope

Answer 30

@saifoo.khan welcome :)

Answer 31

not sure what to do from there

Answer 32

i'm not sure about square root
do we have to take ???

Answer 33

Alright. So where are we stuck?

Answer 34

Looks like the user left.

Answer 35

im here.

Answer 36

-5t^2

Answer 37

We we have to factor that? Can't be done until we take the root.

Answer 38

\[\frac{ 4 }{ 5 }s ^{2} - 5t ^{2}\]

Answer 39

okay so then this is right \[ \sqrt{\frac{ 4 }{ 5}s ^{2}-5t ^{2}}\]

Answer 40

I have one question.

Answer 41

sure :D

Answer 42

\[\frac45 (s^2 - 5t^2) \text{ or }\frac45 s^2 - 5t^2\]

Answer 43

without the parenthesis .

Answer 44

Alright. So I'll give @Nnesha a hint to solve it.

Answer 45

\[\frac15 (4s^2 - 25t^2)\]

Answer 46

hmm now use difference of squares method @dtan5457

Answer 47

The key here is how we got that 25.

Answer 48

Where did you get the 1/5?

Answer 49

@saifoo.khan thanks for coming
i gtg c u later

Answer 50

This is nainsaafi.

Answer 51

@dtan5457 , 4/5 can be written as \[\frac45 = 4\times \frac15\]

Answer 52

Oh I see

Answer 53

Now i factor 4s2−25t2

Answer 54

which ends up being a final answer of 1/5 (2s+5t)(2s+5t)

Answer 55

i got it now. thanks

Answer 56

Yes, boss.

Answer 57

lol @saifoo.khan