5(x+y)-(x+y)

5X+15Y-X+Y
answer 6x-15y

Us this correct

no, how can 5x - x = 6x ?

if you have 5 apples and take one away .....

5(x+y)-(x+y)
= 5x + 5y - x - y
= ...

the answer is 4x-14y

no it isn't

5(x+y)-(x+y)
= 5x + 5y - x - y
= 4x - 4y

but

15(x+y)-(x+y)
= 15x + 15y - x - y
= 14x - 14y

so you clearly had a typo in your original post

No, that is not the correct answer. Let's break down the expression step-by-step to solve it correctly.

5(x+y) - (x+y)

To simplify this expression, we can distribute the 5 to both the x and y terms inside the parentheses:

5x + 5y - (x + y)

Now, let's simplify the expression further by removing the parentheses. Since we have a negative sign in front of the parentheses, we need to distribute the negative sign to all the terms inside the parentheses:

5x + 5y - x - y

Now, we can combine like terms. The x terms (5x and -x) and the y terms (5y and -y) can be combined:

(5x - x) + (5y - y)

This simplifies to:

4x + 4y

So, the correct answer is 4x + 4y.