Compute the following product. $$ (5 x-2)(x+1) $$

Question

UpStudy AI · Accepted Answer

To compute the product $$(5x - 2)(x + 1)$$, we'll use the distributive property (also known as the FOIL method for binomials).

**Step-by-Step Calculation:**

1. **First Terms:**
   $$
   5x \times x = 5x^2
   $$

2. **Outer Terms:**
   $$
   5x \times 1 = 5x
   $$

3. **Inner Terms:**
   $$
   -2 \times x = -2x
   $$

4. **Last Terms:**
   $$
   -2 \times 1 = -2
   $$

**Combine All the Terms:**
$$
5x^2 + 5x - 2x - 2
$$

**Combine Like Terms:**
$$
5x^2 + (5x - 2x) - 2 = 5x^2 + 3x - 2
$$

**Final Answer:**
$$
5x^2 + 3x - 2
$$
The product is $$5x^2 + 3x - 2$$.

Compute the following product. \[ (5 x-2)(x+1) \]