Answer:
D. -x^2 + 12x + 3.
Explanation:
5x^2 + 9x + 3 - (6x^2 - 3x)
First distribute the negative over the parentheses:
= 5x^2 + 9x + 3 - 6x^2 + 3x
Bring like terms together, then simplify:
= 5x^2 - 6x^2 + 9x + 3x + 3
= -x^2 + 12x + 3.
5x² + 9x + 3 - (6x² - 3x) =
= 5x² + 9x + 3 - 6x²+ 3x =
= (5x² - 6x²) + (9x + 3x) + 3 =
= -x² + 12x + 3
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