Simplify (6x+5)(9x+9)

$(6 x + 5) (9 x + 9)$

Step 1

Expand $(6 x + 5) (9 x + 9)$ using the FOIL Method.

Apply the distributive property.

$6 x (9 x + 9) + 5 (9 x + 9)$

Apply the distributive property.

$6 x (9 x) + 6 x \cdot 9 + 5 (9 x + 9)$

Apply the distributive property.

$6 x (9 x) + 6 x \cdot 9 + 5 (9 x) + 5 \cdot 9$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$6 \cdot 9 x \cdot x + 6 x \cdot 9 + 5 (9 x) + 5 \cdot 9$

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

Move $x$ .

$6 \cdot 9 (x \cdot x) + 6 x \cdot 9 + 5 (9 x) + 5 \cdot 9$

Multiply $x$ by $x$ .

$6 \cdot 9 x^{2} + 6 x \cdot 9 + 5 (9 x) + 5 \cdot 9$

Multiply $6$ by $9$ .

$54 x^{2} + 6 x \cdot 9 + 5 (9 x) + 5 \cdot 9$

Multiply $9$ by $6$ .

$54 x^{2} + 54 x + 5 (9 x) + 5 \cdot 9$

Multiply $9$ by $5$ .

$54 x^{2} + 54 x + 45 x + 5 \cdot 9$

Multiply $5$ by $9$ .

$54 x^{2} + 54 x + 45 x + 45$

Add $54 x$ and $45 x$ .

$54 x^{2} + 99 x + 45$