Simplify (6x-7)(6x+7)

$(6 x - 7) (6 x + 7)$

Step 1

Expand $(6 x - 7) (6 x + 7)$ using the FOIL Method.

Apply the distributive property.

$6 x (6 x + 7) - 7 (6 x + 7)$

Apply the distributive property.

$6 x (6 x) + 6 x \cdot 7 - 7 (6 x + 7)$

Apply the distributive property.

$6 x (6 x) + 6 x \cdot 7 - 7 (6 x) - 7 \cdot 7$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$6 \cdot 6 x \cdot x + 6 x \cdot 7 - 7 (6 x) - 7 \cdot 7$

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

Move $x$ .

$6 \cdot 6 (x \cdot x) + 6 x \cdot 7 - 7 (6 x) - 7 \cdot 7$

Multiply $x$ by $x$ .

$6 \cdot 6 x^{2} + 6 x \cdot 7 - 7 (6 x) - 7 \cdot 7$

Multiply $6$ by $6$ .

$36 x^{2} + 6 x \cdot 7 - 7 (6 x) - 7 \cdot 7$

Multiply $7$ by $6$ .

$36 x^{2} + 42 x - 7 (6 x) - 7 \cdot 7$

Multiply $6$ by $- 7$ .

$36 x^{2} + 42 x - 42 x - 7 \cdot 7$

Multiply $- 7$ by $7$ .

$36 x^{2} + 42 x - 42 x - 49$

Subtract $42 x$ from $42 x$ .

$36 x^{2} + 0 - 49$

Add $36 x^{2}$ and $0$ .

$36 x^{2} - 49$