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Let's tackle both questions one by one using the FOIL method (First, Outer, Inner, Last):

### Question 4:
Expression: \((7x - 4)(3x + 3)\)

Using FOIL:
- **First**: \(7x \cdot 3x = 21x^2\)
- **Outer**: \(7x \cdot 3 = 21x\)
- **Inner**: \(-4 \cdot 3x = -12x\)
- **Last**: \(-4 \cdot 3 = -12\)

Now, combine like terms:
\[
21x^2 + 21x - 12x - 12 = 21x^2 + 9x - 12
\]

### Question 5:
Expression: \((-x - 1)(5x + 12)\)

Using FOIL:
- **First**: \(-x \cdot 5x = -5x^2\)
- **Outer**: \(-x \cdot 12 = -12x\)
- **Inner**: \(-1 \cdot 5x = -5x\)
- **Last**: \(-1 \cdot 12 = -12\)

Now, combine like terms:
\[
-5x^2 - 12x - 5x - 12 = -5x^2 - 17x - 12
\]

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Would you like more details on these steps or need further clarification? 

Here are 5 related questions:
1. How is the FOIL method applied to polynomials with more than two terms?
2. Can the distributive property be used as an alternative to FOIL? How?
3. What happens if both binomials in FOIL contain negative terms?
4. How do you expand binomials raised to a power, such as \((x+2)^2\)?
5. How can we use the result from binomial multiplication in solving quadratic equations?

**Tip**: The FOIL method is simply a specific application of the distributive property when multiplying two binomials.

Multiply using the FOIL method. Simplify completely: (7x - 4)(3x + 3) and (-x - 1)(5x + 12)

Learn how to multiply binomials using the FOIL method with examples like (7x - 4)(3x + 3) and (-x - 1)(5x + 12). This step-by-step guide covers key algebraic techniques for students in Grades 7-9.

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