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Answer :
Let's simplify the given expression step-by-step:
The expression is:
[tex]\[
(7x^2 - 5x^6 + 7) + (9x^6 - 3 + 7x^2)
\][/tex]
1. Combine like terms:
- Start with the [tex]\(x^6\)[/tex] terms:
[tex]\(-5x^6 + 9x^6 = 4x^6\)[/tex]
- Next, look at the [tex]\(x^2\)[/tex] terms:
[tex]\(7x^2 + 7x^2 = 14x^2\)[/tex]
- Finally, combine the constant terms:
[tex]\(7 - 3 = 4\)[/tex]
2. Write the simplified expression:
After combining all the like terms, the simplified expression is:
[tex]\[
4x^6 + 14x^2 + 4
\][/tex]
That's the final simplified expression.
The expression is:
[tex]\[
(7x^2 - 5x^6 + 7) + (9x^6 - 3 + 7x^2)
\][/tex]
1. Combine like terms:
- Start with the [tex]\(x^6\)[/tex] terms:
[tex]\(-5x^6 + 9x^6 = 4x^6\)[/tex]
- Next, look at the [tex]\(x^2\)[/tex] terms:
[tex]\(7x^2 + 7x^2 = 14x^2\)[/tex]
- Finally, combine the constant terms:
[tex]\(7 - 3 = 4\)[/tex]
2. Write the simplified expression:
After combining all the like terms, the simplified expression is:
[tex]\[
4x^6 + 14x^2 + 4
\][/tex]
That's the final simplified expression.
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