Find the Perfect Square Trinomial (3x-10)(x-2)

$(3 x - 10) (x - 2)$

Step 1

Expand $(3 x - 10) (x - 2)$ using the FOIL Method.

Apply the distributive property.

$3 x (x - 2) - 10 (x - 2)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot - 2 - 10 (x - 2)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot - 2 - 10 x - 10 \cdot - 2$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$3 (x \cdot x) + 3 x \cdot - 2 - 10 x - 10 \cdot - 2$

Multiply $x$ by $x$ .

$3 x^{2} + 3 x \cdot - 2 - 10 x - 10 \cdot - 2$

Multiply $- 2$ by $3$ .

$3 x^{2} - 6 x - 10 x - 10 \cdot - 2$

Multiply $- 10$ by $- 2$ .

$3 x^{2} - 6 x - 10 x + 20$

Subtract $10 x$ from $- 6 x$ .

$3 x^{2} - 16 x + 20$