Question

Given: Q=7m+3n,R=11-2m,s=n+5,and T =-m-3n+8 simplify Q-[R+S]-T

Answer 1

ertheths

Explanation:

Answer 2

Simplify

`Q-[R+S]-T`

The answer is:

`10m+5n-24`

Explanation:

We have the expressions:

`Q=7m+3n\\R=11-2m\\S=n+5\\T=-m-3n+8`

Now, we need simplify:

`Q-[R+S]-T`

We need to replace each term by the expressions:

`7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)`

We need to remember the rule of signs:

`-/-=+`

`-/+=-`

`+/+=+`

With this in mind we solve the parentheses:

`7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)`

`7m+3n-[11-2m+n+5]+m+3n-8`

`7m+3n-11+2m-n-5+m+3n-8`

let's group common terms

`7m+3n-11+2m-n-5+m+3n-8\\7m+2m+m+3n-n+3n-11-5-8`

We must add and subtract common terms:

`7m+2m+m+3n-n+3n-11-5-8\\10m+5n-24`

The answer is:

`10m+5n-24`