Subtract -2k³ + k² - 9 from 5k³ - 3k + 7.

Solution:

We have to subtract -2k³ + k² - 9 from 5k³ - 3k + 7.

(5k³ - 3k + 7) - (-2k³ + k² - 9) = 5k³ - 3k + 7 + 2k³ - k² + 9

By grouping,

= (5k³ + 2k³) - k² - 3k + (7+9)

= 7k³ - k² - 3k + 16

Therefore, the solution is 7k³ - k² - 3k + 16.

Example:

Subtract -k³ + k² + k - 9 from k³ - 3k² + 3.

Solution:

We have to subtract -k³ + k² + k - 9 from k³ - 3k² + 3.

(k³ - 3k² + 3) - (-k³ + k² + k - 9) = k³ - 3k² + 3 + k³ - k² - k + 9

By grouping,

= (k³ + k³) + (-3k² - k²) - k + (3 + 9)

= 2k³ - 4k² - k + 12

Therefore, the solution is 2k³ - 4k² - k + 12.

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Subtract -2k³ + k² - 9 from 5k³ - 3k + 7.

Summary:

On subtracting -2k³ + k² - 9 from 5k³ - 3k + 7 we get 7k³ - k² - 3k + 16.