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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

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

Multiply $x$ by $1$ .

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

Multiply $2$ by $- 3$ .

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

Multiply $- 3$ by $1$ .

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

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

Subtract $6 x$ from $x$ .

$2 x^{2} - 5 x - 3$

$2 x^{2} - 5 x - 3$

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