Answer :
To solve the expression [tex]\(7x^3 + 8x^3\)[/tex], follow these steps:
1. Identify the Terms:
- We have two terms: [tex]\(7x^3\)[/tex] and [tex]\(8x^3\)[/tex]. Both terms have the same variable raised to the same power, which makes them like terms.
2. Combine Like Terms:
- Since both terms are like terms, you can combine them by adding their coefficients. The coefficients are the numerical parts in front of the [tex]\(x^3\)[/tex].
- Add the coefficients: [tex]\(7 + 8 = 15\)[/tex].
3. Write the Simplified Expression:
- Combine the result from step 2 with the common term [tex]\(x^3\)[/tex].
- The simplified expression is [tex]\(15x^3\)[/tex].
4. Identify the Exponent:
- The exponent remains the same, as both original terms had [tex]\(x^3\)[/tex].
- The exponent is 3.
So, the result of combining [tex]\(7x^3\)[/tex] and [tex]\(8x^3\)[/tex] is [tex]\(15x^3\)[/tex] with an exponent of 3.
1. Identify the Terms:
- We have two terms: [tex]\(7x^3\)[/tex] and [tex]\(8x^3\)[/tex]. Both terms have the same variable raised to the same power, which makes them like terms.
2. Combine Like Terms:
- Since both terms are like terms, you can combine them by adding their coefficients. The coefficients are the numerical parts in front of the [tex]\(x^3\)[/tex].
- Add the coefficients: [tex]\(7 + 8 = 15\)[/tex].
3. Write the Simplified Expression:
- Combine the result from step 2 with the common term [tex]\(x^3\)[/tex].
- The simplified expression is [tex]\(15x^3\)[/tex].
4. Identify the Exponent:
- The exponent remains the same, as both original terms had [tex]\(x^3\)[/tex].
- The exponent is 3.
So, the result of combining [tex]\(7x^3\)[/tex] and [tex]\(8x^3\)[/tex] is [tex]\(15x^3\)[/tex] with an exponent of 3.
