Question

Which of the following expressions are equivalent to (x + 0) + y + 0?

A. x + y
B. 2 + 0 + (y + 0)
C. None of the above

Answer 1

A. x + y

Explanation:

The given expression is (x + 0) + y + 0. To simplify this expression, we can first remove the unnecessary zero terms, as anything added to or multiplied by zero is itself. So, the expression becomes (x + y), and this is equivalent to option A, x + y.

Now, let's break down the options:

A. x + y: This is the simplified form of the given expression.

B. 2 + 0 + (y + 0): Simplifying this expression, 2 + 0 is just 2, and (y + 0) is y. So, it becomes 2 + y, which is not equivalent to the given expression.

C. None of the above: This is not the correct answer since option A, x + y, is equivalent.

In summary, the equivalent expression to (x + 0) + y + 0 is x + y, making option A the correct choice.