Simplify (5x-2)(x+3)

$(5 x - 2) (x + 3)$

Step 1

Expand $(5 x - 2) (x + 3)$ using the FOIL Method.

Apply the distributive property.

$5 x (x + 3) - 2 (x + 3)$

Apply the distributive property.

$5 x \cdot x + 5 x \cdot 3 - 2 (x + 3)$

Apply the distributive property.

$5 x \cdot x + 5 x \cdot 3 - 2 x - 2 \cdot 3$

$5 x \cdot x + 5 x \cdot 3 - 2 x - 2 \cdot 3$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$5 (x \cdot x) + 5 x \cdot 3 - 2 x - 2 \cdot 3$

Multiply $x$ by $x$ .

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

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

Multiply $3$ by $5$ .

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

Multiply $- 2$ by $3$ .

$5 x^{2} + 15 x - 2 x - 6$

$5 x^{2} + 15 x - 2 x - 6$

Subtract $2 x$ from $15 x$ .

$5 x^{2} + 13 x - 6$

$5 x^{2} + 13 x - 6$

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