Find the Product (3x-1)(x+5)

$(3 x - 1) (x + 5)$

Step 1

Expand $(3 x - 1) (x + 5)$ using the FOIL Method.

Apply the distributive property.

$3 x (x + 5) - 1 (x + 5)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot 5 - 1 (x + 5)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot 5 - 1 x - 1 \cdot 5$

$3 x \cdot x + 3 x \cdot 5 - 1 x - 1 \cdot 5$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$3 (x \cdot x) + 3 x \cdot 5 - 1 x - 1 \cdot 5$

Multiply $x$ by $x$ .

$3 x^{2} + 3 x \cdot 5 - 1 x - 1 \cdot 5$

$3 x^{2} + 3 x \cdot 5 - 1 x - 1 \cdot 5$

Multiply $5$ by $3$ .

$3 x^{2} + 15 x - 1 x - 1 \cdot 5$

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

$3 x^{2} + 15 x - x - 1 \cdot 5$

Multiply $- 1$ by $5$ .

$3 x^{2} + 15 x - x - 5$

$3 x^{2} + 15 x - x - 5$

Subtract $x$ from $15 x$ .

$3 x^{2} + 14 x - 5$

$3 x^{2} + 14 x - 5$

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