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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify terms.

Combine the opposite terms in $6 x (6 x) + 6 x \cdot - 5 + 5 (6 x) + 5 \cdot - 5$ .

Reorder the factors in the terms $6 x \cdot - 5$ and $5 (6 x)$ .

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

Add $- 5 \cdot 6 x$ and $5 \cdot 6 x$ .

$6 x (6 x) + 0 + 5 \cdot - 5$

Add $6 x (6 x)$ and $0$ .

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

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $6$ by $6$ .

$36 x^{2} + 5 \cdot - 5$

Multiply $5$ by $- 5$ .

$36 x^{2} - 25$