Simplify the expression: $x^3 + 9x^3 - 2x^3$
Understand the Problem
The question asks to simplify an algebraic expression by combining like terms. The expression consists of terms with the same variable and exponent, specifically $x^3$. Thus, we can combine the coefficients of these terms to simplify the expression.
Answer
$8x^3$
Answer for screen readers
$8x^3$
Steps to Solve
- Identify like terms
The given expression is $x^3+9x^3-2x^3$. All the terms have the same variable $x$ raised to the power of $3$, so they are like terms.
- Combine the coefficients
Combine the coefficients of the like terms: $1 + 9 - 2$.
- Simplify the coefficients
Simplify the expression obtained in the previous step: $1 + 9 - 2 = 10 - 2 = 8$
- Write the simplified expression
Multiply the simplified coefficient with the variable part to get the final simplified expression: $8x^3$.
$8x^3$
More Information
The expression is simplified by adding and subtracting the coefficients of the $x^3$ terms.
Tips
A common mistake is to change the exponent of $x$ when combining like terms. Remember, when adding or subtracting like terms, you only combine the coefficients and leave the variable and its exponent unchanged.
Another mistake is to forget that $x^3$ has a coefficient of 1.
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