Question

How do I write this rational expression in the lowest term a^3-512/a-8

Answer 1

factor the numerator as the difference of two cubes

Answer 2

good morning radar!

Answer 3

Good morning satellite, do you want to solve this difference of two perfect cubes?

Answer 4

I thought I would just put out the form as guiidance:

Answer 5

\[a^3-b^3=(a-b)(a^2+ab+b^2)\] use \[a=x,b=8\]

Answer 6

I can't get the equation editor to work this morning!

Answer 7

Thanks, willaf should take it from there. A good day to you.

Answer 8

Did you get it done willaf?

Answer 9

Just plug in those values a=x, b=8 in the equation provided by satellite73.

Answer 10

Then do the division.

Answer 11

\[a ^{3}-512 \over a-8\]

Answer 12

Substitute the factorized numerator and proceed with the division.