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33 votes
33 votes
3n^2(5n^2-2n+1)+(4n^2-11n^4-9)

User Emu
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2 Answers

21 votes
21 votes
ANSWER: ⇒ 4n⁴ - 6n³ + 7n² - 9

Simplify or expand:

3n²(5n² - 2n + 1) + (4n² - 11n⁴ - 9)

Apply the Distributive Property:

3n² × 5n² - 3n² × 2n + 3n² + (4n² - 11n⁴ - 9)

Multiply the monomials:

15n⁴ - 3n² × 2n + 3n² + (4n² - 11n⁴ - 9)

Multiply the monomials:

15n⁴ - 6n³ + 3n² + (4n² - 11n⁴ - 9)

Determine the sign:

15n⁴ - 6n³ + 3n² + 4n² - 11n⁴ - 9

Reorder and gather like terms:

(15n⁴ - 11n⁴) - 6n³ + (3n² + 4n²) - 9

Collect coefficients of like terms:

(15 - 11)n⁴ - 6n³ + (3 + 4)n² - 9

Calculate the sum or difference:

4n⁴ - 6n³ + (3 + 4)n² - 9

Calculate the sum or difference:

4n⁴ - 6n³ + 7n² - 9
User Dominik Dosoudil
by
2.7k points
27 votes
27 votes

Answer:

4n^4 - 6n^3 + 7n^2 - 9

Explanation:

User Afzal N
by
2.9k points