Answer :
Let's simplify the given expression step-by-step:
The expression given is:
[tex]\[
(3x^5 + 17x^3 - 1) + (-2x^5 - 6)
\][/tex]
1. Combine Like Terms:
- Combine the terms with [tex]\(x^5\)[/tex]:
- [tex]\(3x^5 + (-2x^5) = (3 - 2)x^5 = 1x^5\)[/tex]
- The term with [tex]\(x^3\)[/tex] is [tex]\(17x^3\)[/tex], and it doesn't have any like terms to combine with.
- Combine the constant terms:
- Consists of [tex]\(-1\)[/tex] and [tex]\(-6\)[/tex]: [tex]\(-1 + (-6) = -7\)[/tex]
2. Write the simplified expression:
Put all the simplified terms together:
[tex]\[
x^5 + 17x^3 - 7
\][/tex]
Thus, the simplified expression is [tex]\(x^5 + 17x^3 - 7\)[/tex]. Therefore, the correct choice is:
A. [tex]\(x^5 + 17x^3 - 7\)[/tex]
The expression given is:
[tex]\[
(3x^5 + 17x^3 - 1) + (-2x^5 - 6)
\][/tex]
1. Combine Like Terms:
- Combine the terms with [tex]\(x^5\)[/tex]:
- [tex]\(3x^5 + (-2x^5) = (3 - 2)x^5 = 1x^5\)[/tex]
- The term with [tex]\(x^3\)[/tex] is [tex]\(17x^3\)[/tex], and it doesn't have any like terms to combine with.
- Combine the constant terms:
- Consists of [tex]\(-1\)[/tex] and [tex]\(-6\)[/tex]: [tex]\(-1 + (-6) = -7\)[/tex]
2. Write the simplified expression:
Put all the simplified terms together:
[tex]\[
x^5 + 17x^3 - 7
\][/tex]
Thus, the simplified expression is [tex]\(x^5 + 17x^3 - 7\)[/tex]. Therefore, the correct choice is:
A. [tex]\(x^5 + 17x^3 - 7\)[/tex]
