Let's first analyze and simplify the expression from the image:

We are given the following expression to simplify:

$\left(7n^2 - 47n - 14\right) \cdot \frac{16n^2 - 56}{14n^2 - 45n - 14}$

Step-by-step simplification:

1. Factor the terms (if possible):

   • Let's first attempt factoring the quadratic terms in the expression.

   Factor the numerator $16n^2 - 56$: $16n^2 - 56 = 16(n^2 - 3.5)$ This expression cannot be factored further in a simple manner, so we can leave it as is.

   Factor the denominator $14n^2 - 45n - 14$: This expression is a quadratic that can be factored using the method of splitting the middle term.

   Factor $14n^2 - 45n - 14$: $14n^2 - 45n - 14 = (7n + 2)(2n - 7)$

2. Combine the simplified terms: The overall expression becomes: $(7n^2 - 47n - 14) \cdot \frac{16(n^2 - 3.5)}{(7n + 2)(2n - 7)}$

Would you like to proceed with more details about further simplifications or if this expression needs any particular analysis?