Simplify (5x+6)(5x-6)

$(5 x + 6) (5 x - 6)$

Step 1

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

Apply the distributive property.

$5 x (5 x - 6) + 6 (5 x - 6)$

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $5$ by $5$ .

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

Multiply $- 6$ by $5$ .

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

Multiply $5$ by $6$ .

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

Multiply $6$ by $- 6$ .

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

Add $- 30 x$ and $30 x$ .

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

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

$25 x^{2} - 36$