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Answer :
To simplify the expression [tex]\(13x^3 + 7x^3\)[/tex] by combining like terms, follow these steps:
1. Identify like terms: In the expression, both terms have the same variable part, [tex]\(x^3\)[/tex], so they are like terms.
2. Combine the coefficients: Since the variable parts are the same, we can add the coefficients (the numbers in front of the variable parts).
3. Add the coefficients:
[tex]\[
13 + 7 = 20
\][/tex]
4. Write the simplified expression: After adding the coefficients, keep the common variable part [tex]\(x^3\)[/tex].
The simplified expression is [tex]\(20x^3\)[/tex].
Therefore, the result is [tex]\(\boxed{20x^3}\)[/tex].
1. Identify like terms: In the expression, both terms have the same variable part, [tex]\(x^3\)[/tex], so they are like terms.
2. Combine the coefficients: Since the variable parts are the same, we can add the coefficients (the numbers in front of the variable parts).
3. Add the coefficients:
[tex]\[
13 + 7 = 20
\][/tex]
4. Write the simplified expression: After adding the coefficients, keep the common variable part [tex]\(x^3\)[/tex].
The simplified expression is [tex]\(20x^3\)[/tex].
Therefore, the result is [tex]\(\boxed{20x^3}\)[/tex].
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