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question combine like terms. $x^3 - 2x + 4x^3 + 1 - 6x^3 + 3 - 1$

Question

question
combine like terms.
$x^3 - 2x + 4x^3 + 1 - 6x^3 + 3 - 1$

Explanation:

Step1: Identify like terms

Like terms for \(x^3\): \(x^3\), \(4x^3\), \(-6x^3\)
Like terms for constants: \(1\), \(3\), \(-1\)
The term \(-2x\) has no like terms.

Step2: Combine \(x^3\) terms

\(x^3 + 4x^3 - 6x^3 = (1 + 4 - 6)x^3 = -x^3\)

Step3: Combine constant terms

\(1 + 3 - 1 = 3\)

Step4: Write the simplified expression

Combine the results with the remaining term \(-2x\): \(-x^3 - 2x + 3\)

Answer:

\(-x^3 - 2x + 3\)