Simplify 5 plus 2 cubed plus 3 times the bracket [6 minus 3 times (4 minus 2)].

1. Work the innermost parentheses first: 4 minus 2 equals 2. 2. Multiply inside the brackets: 3 times 2 equals 6. 3. Subtract inside the brackets: 6 minus 6 equals 0. 4. Multiply the bracket result by the 3 outside it: 3 times 0 equals 0. 5. Simplify the exponent: 2 cubed equals 8. 6. Add from left to right: 5 plus 8 plus 0 equals 13. 7. Treating 2 cubed as 2 times 3 instead of three factors of 2 gives 5 plus 6 plus 0, which equals 11 and skips the exponent rule. 8. Forgetting to multiply the bracket contents by the outer 3 and carrying the 6 forward instead gives 5 plus 8 plus 6, which equals 19. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 2 "The Language of Algebra", section 2.1 Use the Language of Algebra_