Multiplying Binomials: (6n² − 6n − 5)(7n² + 6n − 5)
This problem involves multiplying two trinomials. To solve this, we'll use the distributive property and perform a series of multiplications.
Here's how to approach it:

Distribute the first term of the first trinomial:
 (6n²) * (7n² + 6n  5) = 42n⁴ + 36n³  30n²

Distribute the second term of the first trinomial:
 (6n) * (7n² + 6n  5) = 42n³  36n² + 30n

Distribute the third term of the first trinomial:
 (5) * (7n² + 6n  5) = 35n²  30n + 25

Combine like terms:
 42n⁴ + 36n³  30n²  42n³  36n² + 30n  35n²  30n + 25 = 42n⁴  6n³  101n² + 25
Therefore, the product of (6n² − 6n − 5)(7n² + 6n − 5) is 42n⁴  6n³  101n² + 25.
Key Points:
 Distributive Property: Remember that when multiplying polynomials, you must multiply each term of one polynomial by every term of the other polynomial.
 Combining Like Terms: After distributing, combine terms that have the same variable and exponent.
 Order of Operations: Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying the expression.