Answer :
To simplify the expression 18x² + 1 - [4(x² - 9) + 2], distribute the -1 and the 4 to get 18x² + 1 - 4x² + 36 - 2. Then combine like terms to get 14x² + 35. The correct answer is option (d) 14x² + 35.
To simplify the expression 18x² + 1 - [4(x² - 9) + 2], first distribute the -1 inside the brackets and then distribute the 4:
18x² + 1 - 4x² + 36 - 2
Then, combine the like terms:
(18x² - 4x²) + (1 + 36 - 2)
14x² + 35
The simplified expression is 14x² + 35, which matches option (d).
