Question - Polynomial Expression Simplification

First, group like terms in the expression.

5u(2u) + 5u(3) - 4c => 10u^2 + 15u - 4c.

Combine this with the second part of the expression:

10u^2 + 15u - 8u - 12.

This simplifies to:

10u^2 + (15u - 8u) - 12 = 10u^2 + 7u - 12.

The final simplified expression is:

10u^2 + 7u - 12.