High School

Perform the indicated operation and simplify.

-3(-9x^2 + 7) - 2(2x^3 + 100 - 8)

A. 27x^2 + 107
B. -27x^2 - 107
C. 27x^2 - 146
D. -27x^2 + 146

Answer :

Final answer:

To simplify the expression -3(-9x^2 + 7) - 2(2x^3 + 100 - 8), distribute the negatives to each term inside the parentheses and then combine like terms to find the simplified expression.

Explanation:

To simplify the expression -3(-9x^2 + 7) - 2(2x^3 + 100 - 8), we need to distribute the negative sign to each term inside the first set of parentheses. This gives us 27x^2 - 21 - 2(2x^3 + 100 - 8). Next, we distribute the negative sign to each term inside the second set of parentheses. This gives us 27x^2 - 21 - 4x^3 - 200 + 16. Finally, we combine like terms and simplify to get -4x^3 + 27x^2 - 205.

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