Question

In the following exercise, simplify each expressions.

$-\left(6-8\right)-\left(2-4\right)$

Short answer

The simplified value is 4.

Step-by-step solution

Step 1. Concept Used.

According to subtraction property, the subtraction of a number is equal to the addition of its opposite. This can be expressed as follows.

$a-b=a+\left(-b\right)$

Step 2. Simplification inside parentheses.

Add the opposite of 8 with 6 inside the first parentheses and opposite of 4 with 2 in the second parentheses.

$-\left(6-8\right)-\left(2-4\right)=-\left(-2\right)-\left(-2\right)$

Step 3. Calculation.

Add the opposite of the opposite of 2 with the opposite of the opposite of 2.

$\begin{array}{rcl}-\left(-2\right)-\left(-2\right)& =& 2+2\\ & =& 4\end{array}$

Step 4. Conclusion.

The simplified value of the given expression is 4.