Let's solve each polynomial addition problem step by step.
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Problem 1:
Add the polynomials:
$$
(4x^2 + 4x + 1) + (4x + 20)
$$
Step 1: Remove the parentheses.
$$
4x^2 + 4x + 1 + 4x + 20
$$
Step 2: Combine like terms.
- $4x^2$: only one term of degree 2 → remains $4x^2$
- $4x + 4x = 8x$
- $1 + 20 = 21$
Final Answer:
$$
\boxed{4x^2 + 8x + 21}
$$
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Problem 3:
Add the polynomials:
$$
(5x^3 - 6x + 10) + (x^3 + 10x - 9)
$$
Step 1: Remove the parentheses.
$$
5x^3 - 6x + 10 + x^3 + 10x - 9
$$
Step 2: Combine like terms.
- $5x^3 + x^3 = 6x^3$
- $-6x + 10x = 4x$
- $10 - 9 = 1$
Final Answer:
$$
\boxed{6x^3 + 4x + 1}
$$
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✔ Summary:
1. $(4x^2 + 4x + 1) + (4x + 20) = \boxed{4x^2 + 8x + 21}$
3. $(5x^3 - 6x + 10) + (x^3 + 10x - 9) = \boxed{6x^3 + 4x + 1}$
Let me know if you'd like a visual explanation or help with more problems!
Parent Tip: Review the logic above to help your child master the concept of add polynomials worksheet.
