# How do you simplify 4-8+-3(-1+-2)?

Apr 1, 2017

I think that it is $2 \pm 3$.

#### Explanation:

$4 - 8 \pm 3 \left(- 1 \pm 2\right)$
$= 4 - 8 + \left(\pm \left(- 1 \cdot 3\right) \pm \left(\pm 2 \cdot 3\right)\right)$ (Distribute $\pm 3$ into the parentheses)
$= 4 - 8 + \left(\pm \left(- 3\right) \pm \left(\pm 6\right)\right)$ (The $\pm \left(- 3\right)$ really should be minus or plus 3, but Socratic can't understand the minus or plus symbol)
$= 4 - 8 + \left(\pm \left(- 3\right) + 6\right)$ (Since $\pm 1 \cdot \pm 1 = 1$)
$= 4 - 8 + 6 \pm \left(- 3\right)$
$= 4 - 8 + 6 \pm 3$ (Since there is only no $\pm$ symbol now, flipping the minus or plus symbol to a $\pm$ symbol is okay now)
$= 2 \pm 3$