Simplify (5n+6)(5n-5)

$(5 n + 6) (5 n - 5)$

Step 1

Expand $(5 n + 6) (5 n - 5)$ using the FOIL Method.

Apply the distributive property.

$5 n (5 n - 5) + 6 (5 n - 5)$

Apply the distributive property.

$5 n (5 n) + 5 n \cdot - 5 + 6 (5 n - 5)$

Apply the distributive property.

$5 n (5 n) + 5 n \cdot - 5 + 6 (5 n) + 6 \cdot - 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$5 \cdot 5 n \cdot n + 5 n \cdot - 5 + 6 (5 n) + 6 \cdot - 5$

Multiply $n$ by $n$ by adding the exponents.

Move $n$ .

$5 \cdot 5 (n \cdot n) + 5 n \cdot - 5 + 6 (5 n) + 6 \cdot - 5$

Multiply $n$ by $n$ .

$5 \cdot 5 n^{2} + 5 n \cdot - 5 + 6 (5 n) + 6 \cdot - 5$

Multiply $5$ by $5$ .

$25 n^{2} + 5 n \cdot - 5 + 6 (5 n) + 6 \cdot - 5$

Multiply $- 5$ by $5$ .

$25 n^{2} - 25 n + 6 (5 n) + 6 \cdot - 5$

Multiply $5$ by $6$ .

$25 n^{2} - 25 n + 30 n + 6 \cdot - 5$

Multiply $6$ by $- 5$ .

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

Add $- 25 n$ and $30 n$ .

$25 n^{2} + 5 n - 30$