anonymous 4 years ago help factor. 5y8 - 125

1. anonymous

$5y^8=125$ ---> $y^8=25$---->$y=\sqrt[8]{25}$

2. jackellyn

Is it factor or solve for y? (which is what @akash809 did)

3. anonymous

its factor for y @jackellyn which im not good at :I

4. jackellyn

Okay, so the term that 5 and 125 have in common is 5, so you factor that out 125/5=25 so that leaves you with $5(y ^{8}-25)$

5. jackellyn

now, let's look at (y^8-25) y^8 is the same as (y^4)^2 and 25 is the same as (5)^2

6. jackellyn

which will be a difference of squares so you split it into two (y⁴-5)(y⁴+5) and one has a + and one has a - because the product of a + and - is - and dont forget the 5 up front so the answer is 5(y⁴-5)(y⁴+5)

7. anonymous

@jackellyn idk why its so hard for me to understand :c i used to know how to do factors but i forgot ._.

8. jackellyn

its all about practice and knowing the rules lol