Question

An expression is shown.

(4/5x+1)+(2/5x-1)
Create an equivalent expression without
parentheses.

Answer 1

The equivalent expression without parentheses for (4/5x+1)+(2/5x-1) is 6/5x, simplified by removing the parentheses and combining like terms.

Step-by-step explanation:

To create an equivalent expression without parentheses for the given expression (4/5x+1)+(2/5x-1), we simply need to combine like terms, since there are no multiplication or division operations between the two sets of parentheses that need to be carried out first. Here are the steps to simplify the expression:

1. Remove the parentheses: 4/5x + 1 + 2/5x - 1.
2. Combine like terms (the terms with x and the constant terms separately): (4/5x + 2/5x) + (1 - 1).
3. Simplify the terms: 6/5x + 0.
4. Since adding zero does not change the value, the final simplified expression is 6/5x.