Simplify (2x-9)(x+6)

$(2 x - 9) (x + 6)$

Step 1

Expand $(2 x - 9) (x + 6)$ using the FOIL Method.

Apply the distributive property.

$2 x (x + 6) - 9 (x + 6)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 6 - 9 (x + 6)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 6 - 9 x - 9 \cdot 6$

$2 x \cdot x + 2 x \cdot 6 - 9 x - 9 \cdot 6$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$2 (x \cdot x) + 2 x \cdot 6 - 9 x - 9 \cdot 6$

Multiply $x$ by $x$ .

$2 x^{2} + 2 x \cdot 6 - 9 x - 9 \cdot 6$

$2 x^{2} + 2 x \cdot 6 - 9 x - 9 \cdot 6$

Multiply $6$ by $2$ .

$2 x^{2} + 12 x - 9 x - 9 \cdot 6$

Multiply $- 9$ by $6$ .

$2 x^{2} + 12 x - 9 x - 54$

$2 x^{2} + 12 x - 9 x - 54$

Subtract $9 x$ from $12 x$ .

$2 x^{2} + 3 x - 54$

$2 x^{2} + 3 x - 54$

Related Questions