Simplify (2x-1)(x-3)

$(2 x - 1) (x - 3)$

Step 1

Expand $(2 x - 1) (x - 3)$ using the FOIL Method.

Apply the distributive property.

$2 x (x - 3) - 1 (x - 3)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot - 3 - 1 (x - 3)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot - 3 - 1 x - 1 \cdot - 3$

$2 x \cdot x + 2 x \cdot - 3 - 1 x - 1 \cdot - 3$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$2 (x \cdot x) + 2 x \cdot - 3 - 1 x - 1 \cdot - 3$

Multiply $x$ by $x$ .

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

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

Multiply $- 3$ by $2$ .

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

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

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

Multiply $- 1$ by $- 3$ .

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

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

Subtract $x$ from $- 6 x$ .

$2 x^{2} - 7 x + 3$

$2 x^{2} - 7 x + 3$

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