$$ (6 x+5)(2 x+4) $$ Question Help: $$ \square $$ Video Submit Question

Question

UpStudy AI · Accepted Answer

Sure, I can help you expand and simplify the expression $$(6x + 5)(2x + 4)$$. Here's a step-by-step guide:

### Step 1: Apply the Distributive Property (FOIL Method)

To multiply two binomials, you can use the FOIL method, which stands for:

- **F**irst terms
- **O**uter terms
- **I**nner terms
- **L**ast terms

Let's apply this to $$(6x + 5)(2x + 4)$$:

1. **First Terms:** Multiply the first terms in each binomial.
   $$
   6x \times 2x = 12x^2
   $$

2. **Outer Terms:** Multiply the outer terms in the product.
   $$
   6x \times 4 = 24x
   $$

3. **Inner Terms:** Multiply the inner terms.
   $$
   5 \times 2x = 10x
   $$

4. **Last Terms:** Multiply the last terms in each binomial.
   $$
   5 \times 4 = 20
   $$

### Step 2: Combine Like Terms

Now, add all the products together:

$$
12x^2 + 24x + 10x + 20
$$

Combine the like terms ($$24x$$ and $$10x$$):

$$
12x^2 + (24x + 10x) + 20 = 12x^2 + 34x + 20
$$

### Final Answer

The expanded form of $$(6x + 5)(2x + 4)$$ is:

$$
12x^2 + 34x + 20
$$

---

**Summary:**
$$
(6x + 5)(2x + 4) = 12x^2 + 34x + 20
$$

If you have any more questions or need further assistance, feel free to ask!
$$(6x + 5)(2x + 4) = 12x^2 + 34x + 20$$

\( (6 x+5)(2 x+4) \) Question Help: \( \square \) Video Submit Question