Which expression is equivalent to 0?

Question

A.

(a)(-a)
B.
a + (-a)
C.
a/-a
D.
a - (-a)

Answer 1

To find the expression that is equivalent to 0, let's analyze each option one by one:

A. \((a)(-a)\)
This expression simplifies to \(-a^2\), which is not equivalent to 0 unless \(a\) is 0.

B. \(a + (-a)\)
This expression simplifies to \(0\) since \(a\) and \(-a\) cancel each other out.

C. \(\frac{a}{-a}\)
This expression simplifies to \(-1\) (assuming \(a \neq 0\)), which is not equivalent to 0.

D. \(a - (-a)\)
This expression simplifies to \(a + a = 2a\), which is not equivalent to 0 unless \(a\) is 0.

The expression that is equivalent to 0 is:

B. \(a + (-a)\)