Question

Simplify the expression$8+3\left[6-3(5-2)\right]-4^2$$8-3\left[6-3(5-2)\right]-4^2$

Short answer

The simplified form of the solutions is$-17$

Step-by-step solution

Given information

Given expression is $8+3\left[6-3(5-2)\right]-4^2$.

First we have to solve the parenthesis and then multiply by $3$.

:Simplification inside the Brackets 

when solving the parenthesis we get $$\begin{gathered} (5-2)=3 \\ 3(5-2)=9 \end{gathered}$$

Now work on the brackets ,we get$$\begin{gathered} \left[6-3(5-2)\right]=\left[6-9\right] \\ =-3 \end{gathered}$$

Simplification of the expression

we know that $4^2=16$

Then the expression becomes

$$\begin{gathered} 8+3\left[6-3(5-2)\right]-4^2=8+3\times -3-16 \\ =8-9-16 \\ =-17 \end{gathered}$$