Question

In the following exercise, simplify.

$10-3\left|9-3\left(3-1\right)\right|$

Short answer

The simplified value is 1.

Step-by-step solution

Step 1. Simplification inside parentheses.  

Subtract 1 from 3 inside the parentheses.

$10-3\left|9-3\left(3-1\right)\right|=10-3\left|9-3\left(2\right)\right|$

Step 2. Multiplication. 

Multiply 2 by 3.

$10-3\left|9-3\left(2\right)\right|=10-3\left|9-6\right|$

Step 3. Simplification. 

• Simplify inside the absolute value bars.
• Take the absolute value and multiply it with 3.
• Subtract the value from 10.

$\begin{array}{rcl}10-3\left|9-6\right|& =& 10-3\left|3\right|\\ & =& 10-3\left(3\right)\\ & =& 10-9\\ & =& 1\end{array}$

Step 4. Conclusion.

The simplified value of the given expression is 1.