Simplify (3x-33)(2x+26)

$(3 x - 33) (2 x + 26)$

Step 1

Expand $(3 x - 33) (2 x + 26)$ using the FOIL Method.

Apply the distributive property.

$3 x (2 x + 26) - 33 (2 x + 26)$

Apply the distributive property.

$3 x (2 x) + 3 x \cdot 26 - 33 (2 x + 26)$

Apply the distributive property.

$3 x (2 x) + 3 x \cdot 26 - 33 (2 x) - 33 \cdot 26$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 \cdot 2 x \cdot x + 3 x \cdot 26 - 33 (2 x) - 33 \cdot 26$

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

Move $x$ .

$3 \cdot 2 (x \cdot x) + 3 x \cdot 26 - 33 (2 x) - 33 \cdot 26$

Multiply $x$ by $x$ .

$3 \cdot 2 x^{2} + 3 x \cdot 26 - 33 (2 x) - 33 \cdot 26$

Multiply $3$ by $2$ .

$6 x^{2} + 3 x \cdot 26 - 33 (2 x) - 33 \cdot 26$

Multiply $26$ by $3$ .

$6 x^{2} + 78 x - 33 (2 x) - 33 \cdot 26$

Multiply $2$ by $- 33$ .

$6 x^{2} + 78 x - 66 x - 33 \cdot 26$

Multiply $- 33$ by $26$ .

$6 x^{2} + 78 x - 66 x - 858$

Subtract $66 x$ from $78 x$ .

$6 x^{2} + 12 x - 858$