Question

What is the factored form of r27-s30?

Answer 1

The answer is D

Explanation:

edge 2020

Answer 2

Factored Form:

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

Explanation:

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

We need to factor the expression

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

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

`a\rightarrow r^9`

`b\rightarrow s^(10)`

`(r^(9))^3-(s^(10))^3=(r^9-s^(10))((r^9)^2+r^9\cdot s^(10)+(s^(10))^2)`

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

Hence, In factored form
`\Rightarrow (r^9-s^(10))(r^(18)+r^9s^(10)+s^(20))`