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### Question c. (First box)
The expression given is:  
\[ 16x^2 - 24x + 4 \]

This is a quadratic trinomial. To factor this expression:
1. Identify the greatest common factor (GCF) of all the terms. Here, the GCF is 4.
2. Factor out the 4 from the expression:
\[
16x^2 - 24x + 4 = 4(4x^2 - 6x + 1)
\]
3. The quadratic expression \(4x^2 - 6x + 1\) does not factor further using simple techniques (it doesn't factor nicely into real numbers), so the factored form is:
\[
4(4x^2 - 6x + 1)
\]

### Question 5a.
The expression given is:
\[
(3x^2y)(5x)
\]

Multiply the coefficients and add the exponents for like terms:
\[
= 3 \times 5 \times x^{2+1} \times y = 15x^3y
\]
The simplified result is \(15x^3y\).

### Question 5c.
The expression given is:
\[
\frac{x^3}{x^{-2}}
\]

To simplify, apply the rule of exponents: when dividing, subtract the exponents.
\[
= x^{3 - (-2)} = x^{3+2} = x^5
\]
The simplified result is \(x^5\).

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Would you like further explanations or details on any of these steps? Here are 5 questions that expand on this:

1. How do you factor trinomials that do not have a common factor?
2. What are the rules for multiplying exponents with the same base?
3. How do you handle negative exponents when simplifying expressions?
4. Can you explain the process for factoring perfect square trinomials?
5. How can you check if a quadratic trinomial is factorable using the quadratic formula?

**Tip:** Always look for a greatest common factor (GCF) before factoring any polynomial—it can simplify your work.

The user submitted an image of a math problem, which involves factoring a quadratic trinomial and simplifying expressions with exponents.

Learn how to factor the quadratic trinomial 16x^2 - 24x + 4 by factoring out the GCF and simplifying exponent expressions. This solution uses key algebraic concepts such as factoring and exponent rules, ideal for Grades 8-10.

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