y-abs(-2x/3x+1)
To simplify the expression y - abs(-2x/3x+1), we can follow these steps:
1. Distribute the absolute value function: abs(-2x/3x+1) = abs(-2x/(3x+1)).
2. Determine the sign of the expression within the absolute value function:
- If -2x/(3x+1) is positive or zero, then the absolute value is equal to the expression itself. (abs(-2x/(3x+1)) = -2x/(3x+1))
- If -2x/(3x+1) is negative, then the absolute value is equal to the negation of the expression. (abs(-2x/(3x+1)) = -(-2x/(3x+1)) = 2x/(3x+1))
Now, we can use the simplified form to rewrite the original expression.
y - abs(-2x/3x+1) = y - (-2x/(3x+1)) when -2x/(3x+1) is negative
y - abs(-2x/3x+1) = y - (2x/(3x+1)) when -2x/(3x+1) is positive or zero
So, the final simplified expression depends on the sign of -2x/(3x+1).