Expand the Trigonometric Expression 2x(5x-2)

$2 x (5 x - 2)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

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

Simplify the expression.

Rewrite using the commutative property of multiplication.

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

Multiply $- 2$ by $2$ .

$2 \cdot 5 x \cdot x - 4 x$

Step 2

Simplify each term.

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

Move $x$ .

$2 \cdot 5 (x \cdot x) - 4 x$

Multiply $x$ by $x$ .

$2 \cdot 5 x^{2} - 4 x$

Multiply $2$ by $5$ .

$10 x^{2} - 4 x$