Simplify the sum. (4u³ + 4u² + 2) + (6u³ - 2u + 8)

Solution:

Given, the expressions are 4u³ + 4u² + 2 and 6u³ - 2u + 8.

We have to find the sum.

(4u³ + 4u² + 2) + (6u³ - 2u + 8) = 4u³ + 4u² + 2 + 6u³ + (-2u) + 8

= 4u³ + 4u² + 2 + 6u³ - 2u + 8

On grouping of common terms,

= 4u³ + 6u³ + 4u² - 2u + 2 + 8

= 10u³ + 4u² - 2u + 10

Therefore, the required sum is 10u³ + 4u² - 2u + 10.

Simplify the sum. (4u³ + 4u² + 2) + (6u³ - 2u + 8)

Summary:

Simplifying the sum (4u³ + 4u² + 2) + (6u³ - 2u + 8) we get, 10u³ + 4u² - 2u + 10.