Question

Simplify 3r(4r-5s)+2r(-6r-9s)

Answer 1

`\boxed {-33rs}`

Explanation:

Simplify the expression:

`3r(4r - 5s) + 2r(-6r - 9s)`

-Use Distributive Property:

`3r(4r - 5s) + 2r(-6r - 9s)`

`12r^(2) - 15rs - 12r^(2) - 18rs`

-Combine both
`12r^(2)` and
`-12r^(2)`:

`12r^(2) - 15rs - 12r^(2) - 18rs`

`-15rs - 18rs`

-Then, combine both
`15rs` and
`18rs`:

`-15rs - 18rs`

`\boxed {-33rs}` (final answer)

Answer 2

-33rs

Explanation:

First, distribute in the first part of the equation.

3r(4r-5s)=12r-15rs

Now, distribute in the first part of the equation.

2r(-6r-9s)=-12r-18rs

Combine this together.

12r-15sr-12r-18rs

Combine like terms. (12r and -12r will cancel out to 0.)

-33rs

Hope this helps! Have a wonderful day ^^