## Expanding the Expression (5n-5)(2+2n)

This expression represents the product of two binomials. To simplify it, we can use the **FOIL** method (First, Outer, Inner, Last). This method helps us systematically multiply each term of the first binomial with each term of the second binomial.

Here's how it works:

**1. First:** Multiply the first terms of each binomial:
(5n) * (2) = 10n

**2. Outer:** Multiply the outer terms of each binomial:
(5n) * (2n) = 10n²

**3. Inner:** Multiply the inner terms of each binomial:
(-5) * (2) = -10

**4. Last:** Multiply the last terms of each binomial:
(-5) * (2n) = -10n

Now, combine all the terms:

10n + 10n² - 10 - 10n

**5. Simplify by combining like terms:**

10n² - 10

Therefore, the expanded form of (5n-5)(2+2n) is **10n² - 10**.