High School

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------------------------------------------------ Which of the following expressions is equivalent to \(-4x^3 - 12x^3 + 9x^2\)?

A. \(x^8\)
B. \(-7x^8\)
C. \(-8x^3 + 9x^2\)
D. \(-16x^3 + 9x^2\)
E. \(-16x^6 + 9x^2\)

Answer :

Final answer:

The expression -4x³-12x³+9x² simplifies to -16x³ +9x². So, the equivalent expression from the given options is (d) -16x³ +9x².

Explanation:

The given expression is -4x³-12x³+9x². We can combine like terms to simplify this expression. The like terms in the expression are -4x³ and -12x³.

Combining -4x³ and -12x³ gives us -16x³. The +9x² term doesn't have any like terms, so it remains as it is.

So, the simplified expression is -16x³ +9x². Comparing this with the provided options, the correct answer is (d) -16x³ +9x².

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