# Evaluate the following expression: (2-3)^(2+3)-8*(3+2)-9. By how much does the value of the expression change if the parentheses are removed?

changes by 15

#### Explanation:

With parentheses

${\left(2 - 3\right)}^{2 + 3} - 8 \times \left(3 + 2\right) - 9$

${\left(- 1\right)}^{5} - 8 \times \left(5\right) - 9$

$- 1 - 8 \times \left(5\right) - 9$

$- 1 - 40 - 9 = - 50$

Without parentheses

$2 - {3}^{2} + 3 - 8 \times 3 + 2 - 9$

$2 - 9 + 3 - 8 \times 3 + 2 - 9$

$2 - 9 + 3 - 24 + 2 - 9 = - 35$