Simplify (5s+6)(5s-6)

$(5 s + 6) (5 s - 6)$

Step 1

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

Apply the distributive property.

$5 s (5 s - 6) + 6 (5 s - 6)$

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

Multiply $s$ by $s$ by adding the exponents.

Move $s$ .

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

Multiply $s$ by $s$ .

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

Multiply $5$ by $5$ .

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

Multiply $- 6$ by $5$ .

$25 s^{2} - 30 s + 6 (5 s) + 6 \cdot - 6$

Multiply $5$ by $6$ .

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

Multiply $6$ by $- 6$ .

$25 s^{2} - 30 s + 30 s - 36$

Add $- 30 s$ and $30 s$ .

$25 s^{2} + 0 - 36$

Add $25 s^{2}$ and $0$ .

$25 s^{2} - 36$