Simplify (2x-6)(x+3)

$(2 x - 6) (x + 3)$

Step 1

Expand $(2 x - 6) (x + 3)$ using the FOIL Method.

Apply the distributive property.

$2 x (x + 3) - 6 (x + 3)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 3 - 6 (x + 3)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 3 - 6 x - 6 \cdot 3$

$2 x \cdot x + 2 x \cdot 3 - 6 x - 6 \cdot 3$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$2 (x \cdot x) + 2 x \cdot 3 - 6 x - 6 \cdot 3$

Multiply $x$ by $x$ .

$2 x^{2} + 2 x \cdot 3 - 6 x - 6 \cdot 3$

$2 x^{2} + 2 x \cdot 3 - 6 x - 6 \cdot 3$

Multiply $3$ by $2$ .

$2 x^{2} + 6 x - 6 x - 6 \cdot 3$

Multiply $- 6$ by $3$ .

$2 x^{2} + 6 x - 6 x - 18$

$2 x^{2} + 6 x - 6 x - 18$

Subtract $6 x$ from $6 x$ .

$2 x^{2} + 0 - 18$

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

$2 x^{2} - 18$

$2 x^{2} - 18$

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