expand: 3(x+2y) +4(2x-y)

Answer 1

3(x+2y) +4(2x-y) can be simplified by distributing the coefficients on each term.

First, let's distribute 3 to (x+2y):

3(x+2y) = 3x + 6y

Next, let's distribute 4 to (2x-y):

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

Now, we can combine the like terms:

3(x+2y) + 4(2x-y) = (3x + 6y) + (8x - 4y)

= 3x + 8x + 6y - 4y

= 11x + 2y

Therefore, 3(x+2y) +4(2x-y) simplifies to 11x + 2y.