Simplify (8j³ - 3j² + 5) - (4j³ + 8j² + 7j - 6).

Solution:

Given

(8j³ - 3j² + 5) - (4j³ + 8j² + 7j - 6)

Let us remove the parenthesis

8j³ - 3j² + 5 - 4j³ - 8j² - 7j + 6

By reordering like terms

(8j³ - 4j³) + (- 3j² - 8j²) + (5 + 6) - 7j

Collecting the like term coefficients

(8 - 4)j³ + (-3 - 8)j² + (5 + 6) - 7j

By further calculation

4j³ - 11j² + 11 - 7j

4j³ - 11j² - 7j + 11

Therefore, by simplification we get 4j³ - 11j² - 7j + 11.

Simplify (8j³ - 3j² + 5) - (4j³ + 8j² + 7j - 6).

Summary:

By simplifying (8j³ - 3j² + 5) - (4j³ + 8j² + 7j - 6) we get 4j³ - 11j² - 7j + 11.