Combine like terms. -1+x-x^(3)-x+3x^(3)-1+5x^(3) Answer:

Identify and Group Like Terms: Identify and group like terms in the expression. Like terms are terms that have the same variable raised to the same power. In this expression, we have terms with x, x^3, and constant terms. Grouping like terms: (-1 - 1) + (x - x) + (-x^3 + 3x^3 + 5x^3)Combine Constant Terms: Combine the constant terms. Adding the constant terms: -1 - 1 = -2Combine X Terms: Combine the x terms. Adding the x terms: x - x = 0 Since x - x equals 0, these terms cancel each other out and do not need to be included in the final expression.Combine X^3 Terms: Combine the x^3 terms. Adding the x^3 terms: -x^3 + 3x^3 + 5x^3 = 7x^3Write Final Expression: Write the final simplified expression. Since the x terms canceled each other out, we are left with the constant term and the x^3 terms. Final simplified expression: 7x^3 - 2

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Q. Combine like terms.

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-1+x-x^{3}-x+3 x^{3}-1+5 x^{3}

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Answer:

Identify and Group Like Terms: Identify and group like terms in the expression. $\newline$ Like terms are terms that have the same variable raised to the same power. In this expression, we have terms with $x$ , $x^3$ , and constant terms. $\newline$ Grouping like terms: $(-1 - 1) + (x - x) + (-x^3 + 3x^3 + 5x^3)$
Combine Constant Terms: Combine the constant terms. $\newline$ Adding the constant terms: $-1 - 1 = -2$
Combine X Terms: Combine the $x$ terms. $\newline$ Adding the $x$ terms: $x - x = 0$ $\newline$ Since $x - x = 0$ , these terms cancel each other out and do not need to be included in the final expression.
Combine $X^3$ Terms: Combine the $x^3$ terms. $\newline$ Adding the $x^3$ terms: $-x^3 + 3x^3 + 5x^3 = 7x^3$
Write Final Expression: Write the final simplified expression. $\newline$ Since the $x$ terms canceled each other out, we are left with the constant term and the $x^3$ terms. $\newline$ Final simplified expression: $7x^3 - 2$