Simplify (7x-6)(5x+6)

$(7 x - 6) (5 x + 6)$

Step 1

Expand $(7 x - 6) (5 x + 6)$ using the FOIL Method.

Apply the distributive property.

$7 x (5 x + 6) - 6 (5 x + 6)$

Apply the distributive property.

$7 x (5 x) + 7 x \cdot 6 - 6 (5 x + 6)$

Apply the distributive property.

$7 x (5 x) + 7 x \cdot 6 - 6 (5 x) - 6 \cdot 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$7 \cdot 5 x \cdot x + 7 x \cdot 6 - 6 (5 x) - 6 \cdot 6$

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

Move $x$ .

$7 \cdot 5 (x \cdot x) + 7 x \cdot 6 - 6 (5 x) - 6 \cdot 6$

Multiply $x$ by $x$ .

$7 \cdot 5 x^{2} + 7 x \cdot 6 - 6 (5 x) - 6 \cdot 6$

Multiply $7$ by $5$ .

$35 x^{2} + 7 x \cdot 6 - 6 (5 x) - 6 \cdot 6$

Multiply $6$ by $7$ .

$35 x^{2} + 42 x - 6 (5 x) - 6 \cdot 6$

Multiply $5$ by $- 6$ .

$35 x^{2} + 42 x - 30 x - 6 \cdot 6$

Multiply $- 6$ by $6$ .

$35 x^{2} + 42 x - 30 x - 36$

Subtract $30 x$ from $42 x$ .

$35 x^{2} + 12 x - 36$