Simplify (3x+2)(x-7)

$(3 x + 2) (x - 7)$

Step 1

Expand $(3 x + 2) (x - 7)$ using the FOIL Method.

Apply the distributive property.

$3 x (x - 7) + 2 (x - 7)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot - 7 + 2 (x - 7)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot - 7 + 2 x + 2 \cdot - 7$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$3 (x \cdot x) + 3 x \cdot - 7 + 2 x + 2 \cdot - 7$

Multiply $x$ by $x$ .

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

Multiply $- 7$ by $3$ .

$3 x^{2} - 21 x + 2 x + 2 \cdot - 7$

Multiply $2$ by $- 7$ .

$3 x^{2} - 21 x + 2 x - 14$

Add $- 21 x$ and $2 x$ .

$3 x^{2} - 19 x - 14$