College

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 :

Answer:

  • -16x³ + 8x²

Step-by-step explanation:

[tex]\mathrm{-4x^3-12x^3+9x^2}[/tex]

Combine like terms:-

[tex]\mathrm{-4x^3-12x^3=\bf-16x^3}[/tex]

[tex]\mathrm{-16x^3+9x^2}[/tex]

Therefore, -16x³ + 8x² is equivalent to -4x³-12x³+9x².

______________________

Hope this helps! :)

Final answer:

By combining like terms in the given expression, we get -16x^3 + 9x^2, which matches with one of the options provided, confirming it as the correct answer.

Explanation:

To find the equivalent expression, we just need to add or subtract the like terms. In the given expression -4x^3 - 12x^3 + 9x^2, the like terms are -4x^3 and -12x^3. These can be combined by performing the arithmetic operation stated, which is subtraction in this case.

So, -4x^3 - 12x^3 = -16x^3. Hence, the simplified form of the original expression would be -16x^3 + 9x^2.

To simplify the expression −4x3−12x3+9x2, you can combine like terms. The terms with the same variable and exponent can be added or subtracted. In this case, the terms -4x3 and -12x3 can be combined to give -16x3. So, the expression becomes -16x3+9x2 .

Learn more about Combining like terms here:

https://brainly.com/question/17359085

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