Answer:
- 2x - 7y
Step-by-step explanation:
Given
- (4x + y) + 2(x - 3y)
Distribute both parenthesis, noting that the first is distributed by - 1
= - 4x - y + 2x - 6y ← collect like terms
= (- 4x + 2x) + (- y - 6y )
= - 2x + (- 7y) = - 2x - 7y
Answer:
-2x-7y
Step-by-step explanation:
We have the expression -(4x+y)+2(x-3y) and we have to simplify it:
Observation: -(4x+y)=(-1)(4x+y)
We have to use distributive property this is: [tex]a(x+y)=ax+ay[/tex]
Then,
[tex](-1)(4x+y)+2(x-3y)=\\(-1).4x+(-1).y+(2).x+(2).(-3y)=\\=-4x-y+2x-6y[/tex]
Ordering:
[tex]-4x-y+2x-6y=\\-4x+2x-y-6y=\\=-2x-7y[/tex]
Then the simplest form of -(4x+y)+2(x-3y) is -2x-7y
