Answer:
To determine if the expressions 1/5x, 1/5x, and 1/5(x+2) are equivalent, we can simplify and compare them:
1/5x * 1/5x = (1/5)*(1/5)*x*x = 1/25*x^2
1/5(x+2) = 1/5 * (x+2) = (1/5)*x + (1/5)*2 = 1/5*x + 2/5
As we can see, the expressions 1/5x * 1/5x and 1/25*x^2 are equivalent.
However, the expression 1/5(x+2) is different from the other two expressions, 1/5x * 1/5x and 1/25*x^2. It simplifies to 1/5*x + 2/5.
Therefore, the expressions 1/5x * 1/5x and 1/25*x^2 are equivalent to each other, but 1/5(x+2) is not equivalent to the other two expressions.
