# How do you multiply (5n+6) (5n-5)?

Jul 8, 2015

Use the FOIL method to multiply two binomials.

#### Explanation:

The FOIL method shows the order in which the terms of the two binomials are to be multiplied.

$\left(5 n + 6\right) \left(5 n - 5\right)$ =

$\left(5 n \cdot 5 n\right) + \left(5 n \cdot - 5\right) + \left(6 \cdot 5 n\right) + \left(6 \cdot - 5\right)$ =

$25 {n}^{2} - 25 n + 30 n - 30$

Combine like terms.

$25 {n}^{2} + 6 n - 30$