Question

What is the factored form of r^27-s^30

Answer 1

(r^9 - s^10) (r^18 + r^9 s^10 + s^20)
Hope this helps

Answer 2

`(r^9-s^(10))(r^(18)+r^9s^(10)+s^(20))`

Explanation:

`r^(27)-s^(30)`

We know a^3 - b^3 formula

`a^3 - b^3 = (a-b)(a^2+ab+b^2)`

Rewrite r^27-s^30 in cube form

`(r^(9))^3-(s^(10))^3`

Now we apply the formula. we have r^9 in the place of 'a'

and s^10 in the place of 'b'

`(r^(9))^3-(s^(10))^3`

`(r^9-s^(10))((r^9)^2+r^9s^(10)+(s^(10))^2)`

`(r^9-s^(10))(r^(18)+r^9s^(10)+s^(20))`