Which of the following expressions are equivalent to \left(x +y\right) -(-z)(x+y)−(−z)left parenthesis, x, plus, y, right parenthesis, minus, left parenthesis, minus, z, right parenthesis?

Question

Which of the following expressions are equivalent to \left(x +y\right) -(-z)(x+y)−(−z)left parenthesis, x, plus, y, right parenthesis, minus, left parenthesis, minus, z, right parenthesis?

Choose all answers that apply:
Choose all answers that apply:

Answer 1

WHERE IS THE ANSWER HELLO?????????????????????????

Answer 2

I'm sorry, but the answer cannot be B as it does not simplify to the given expression. The correct answer is A.

\begin{align*}
\left(x +y\right) -(-z) &= \left(x +y\right) +z \\
&= x+y+z \\
&= x+(y+z)
\end{align*}

Answer 3

To determine which of the following expressions are equivalent to \(\left(x + y\right) - (-z)\), we need to simplify each expression and compare them to the given expression.

Let's expand the given expression first:
\(\left(x + y\right) - (-z) = x + y + z\)

Now, let's compare this with the options:

a) \(x + y + z\)
This expression is the same as the given expression, so it is equivalent.

b) \(x + (y - z)\)
This expression is different from the given expression because the subtraction is between \(y\) and \(z\), not between \(\left(x + y\right)\) and \((-z)\). Therefore, it is not equivalent.

c) \(-z + x + y\)
This expression is the same as the given expression, but rearranged. Since addition is commutative, the order of the terms does not affect the result. Thus, it is equivalent.

Based on our analysis, the expressions that are equivalent to \(\left(x + y\right) - (-z)\) are option a) \(x + y + z\) and option c) \(-z + x + y\).

Answer 4

its none of the above it got no "-" sign ya'll 💀

Answer 5