Simplify (3x-1)(x-6)

$(3 x - 1) (x - 6)$

Step 1

Expand $(3 x - 1) (x - 6)$ using the FOIL Method.

Apply the distributive property.

$3 x (x - 6) - 1 (x - 6)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot - 6 - 1 (x - 6)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot - 6 - 1 x - 1 \cdot - 6$

$3 x \cdot x + 3 x \cdot - 6 - 1 x - 1 \cdot - 6$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$3 (x \cdot x) + 3 x \cdot - 6 - 1 x - 1 \cdot - 6$

Multiply $x$ by $x$ .

$3 x^{2} + 3 x \cdot - 6 - 1 x - 1 \cdot - 6$

$3 x^{2} + 3 x \cdot - 6 - 1 x - 1 \cdot - 6$

Multiply $- 6$ by $3$ .

$3 x^{2} - 18 x - 1 x - 1 \cdot - 6$

Rewrite $- 1 x$ as $- x$ .

$3 x^{2} - 18 x - x - 1 \cdot - 6$

Multiply $- 1$ by $- 6$ .

$3 x^{2} - 18 x - x + 6$

$3 x^{2} - 18 x - x + 6$

Subtract $x$ from $- 18 x$ .

$3 x^{2} - 19 x + 6$

$3 x^{2} - 19 x + 6$

Related Questions