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------------------------------------------------ Simplify the expression [tex]18x^2 + 1 - [4(x^2 - 9) + 2][/tex].

A. [tex]14x^2 + 19[/tex]
B. [tex]18x^2 - 35[/tex]
C. [tex]18x^2 - 15[/tex]
D. [tex]14x^2 - 35[/tex]

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).

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