Which expression is equilvalent to 2(x+y)+4(x+y)+8(x-y)?

14x-2y

Step-by-step explanation:

just break down the expression by combining like terms and getting rid of the parenthesis like so:

2(x+y)+4(x+y)+8(x-y)

i multiplied the number in front of each parenthesis with both numbers inside

ex: 2(x+y)

2x+2y

result:

2x+2y+4x+4y+8x-8y

next:

14x-2y

14x -2y

Step-by-step explanation:

2( x + y ) + 4( x + y ) + 8( x - y )

First, do the distributive property ( multiply what is in the parenthesis by what is out of it)

2( x + y ) + 4( x + y ) + 8( x - y )

2 * x + 2 * y + 4( x + y ) + 8( x - y )

2x + 2y + 4( x + y ) + 8( x - y )

2x + 2y + 4 * x + 4 * y + 8( x - y )

2x + 2y + 4x + 4y + 8( x - y )

2x + 2y + 4x + 4y +  8 * x + 8 * -y

2x + 2y + 4x + 4y + 8x - 8y

Now combine like terms

14x -2y

And you cannot simplify it anymore

Hope this helped!

Have a day!