Simplify (5c+6)(5c-6)

$(5 c + 6) (5 c - 6)$

Step 1

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

Apply the distributive property.

$5 c (5 c - 6) + 6 (5 c - 6)$

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

Multiply $c$ by $c$ by adding the exponents.

Move $c$ .

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

Multiply $c$ by $c$ .

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

Multiply $5$ by $5$ .

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

Multiply $- 6$ by $5$ .

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

Multiply $5$ by $6$ .

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

Multiply $6$ by $- 6$ .

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

Add $- 30 c$ and $30 c$ .

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

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

$25 c^{2} - 36$