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Answer:

Step-by-step explanation:

1.)

Determine the sign

(5x² + 4) - (5 + 5x³)

Combine like terms

5x² + 4 - 5 - 5x³

• render and gather like terms

5x² + (4 - 5) - 5x³

• Calculate the sum or difference

= 5x² - 1 - 5x³

Rewrite the expression

5x² - 1 - 5x³

= -5x³ + 5x² - 1

2.)

Determine the sign

2a² + 4a³) - (3a³ + 8)

Combine like terms

2a² + 4a1 - 3a³ - 8

Rewrite the expression

2a² + a3 - 8

= a + 2a² - 8

3.)

Determine the sign

(10p⁴ + 11) - (11p⁴ + 13 + 16p²)

Combine like terms

10p⁴ + 11 - 11p⁴ - 13 - 16p²

Rewrite the expression

-p⁴ - 2 - 16p²

= -p⁴ - 16p² - 2

4.)

Determine the sign

(10k⁴ + 17k³) - (14k³ - 2k + 9k⁴)

Combine like terms

10k⁴ + 17k³ - 14k³ + 2k - 9k⁴

= k⁴ + 3k³ + 2k

5.)

Determine the sign

(20n + 11n⁴) - (15n + 16n² - 17n⁴)

Combine like terms

20n + 11n⁴ - 15n - 16n² + 17n⁴

Rewrite the expression

5n + 28n⁴ - 16n²

= 28n⁴ - 16n² + 5n