Answer :
To simplify the expression [tex]\(8x^3 - 7x^3\)[/tex], let's follow these steps:
1. Identify Like Terms: The terms [tex]\(8x^3\)[/tex] and [tex]\(7x^3\)[/tex] are like terms because they both have the same variable raised to the same power, which is [tex]\(x^3\)[/tex].
2. Combine Like Terms: Subtract the coefficients of the like terms:
[tex]\[
8x^3 - 7x^3 = (8 - 7)x^3
\][/tex]
3. Simplify the Coefficients: Subtract the numbers:
[tex]\[
8 - 7 = 1
\][/tex]
4. Write the Simplified Expression: Combine the result with the variable part:
[tex]\[
1x^3 = x^3
\][/tex]
So, the simplified expression is [tex]\(x^3\)[/tex].
1. Identify Like Terms: The terms [tex]\(8x^3\)[/tex] and [tex]\(7x^3\)[/tex] are like terms because they both have the same variable raised to the same power, which is [tex]\(x^3\)[/tex].
2. Combine Like Terms: Subtract the coefficients of the like terms:
[tex]\[
8x^3 - 7x^3 = (8 - 7)x^3
\][/tex]
3. Simplify the Coefficients: Subtract the numbers:
[tex]\[
8 - 7 = 1
\][/tex]
4. Write the Simplified Expression: Combine the result with the variable part:
[tex]\[
1x^3 = x^3
\][/tex]
So, the simplified expression is [tex]\(x^3\)[/tex].
