Question

Simplify:

12x − [3x³ + 5x² − {7x² − (4 − 3x − x³) + 6x³} − 3x]

Answer 1

12x − [3x³ + 5x² − {7x² − (4 − 3x − x³) + 6x³} − 3x]
We will first remove the innermost grouping symbol ( ), followed by { } and then [ ].

∴ 12x − [3x³ + 5x² − {7x² − (4 − 3x − x³) + 6x³} − 3x]
= 12x − [3x³ + 5x² − {7x² − 4 + 3x + x³+ 6x³} − 3x]
= 12x − [3x³ + 5x² − {7x² − 4 + 3x + 7x³} − 3x]
= 12x − [3x³ + 5x² − 7x² + 4 − 3x − 7x³ − 3x]
= 12x − [ − 2x² + 4 − 4x³ − 6x]
= 12x + 2x² − 4 + 4x³ + 6x
= 4x³ + 2x² +18x-4