Simplify -9x(5-2x)

$- 9 x (5 - 2 x)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$- 9 x \cdot 5 - 9 x (- 2 x)$

Simplify the expression.

Multiply $5$ by $- 9$ .

$- 45 x - 9 x (- 2 x)$

Rewrite using the commutative property of multiplication.

$- 45 x - 9 \cdot - 2 x \cdot x$

Step 2

Simplify each term.

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

Move $x$ .

$- 45 x - 9 \cdot - 2 (x \cdot x)$

Multiply $x$ by $x$ .

$- 45 x - 9 \cdot - 2 x^{2}$

Multiply $- 9$ by $- 2$ .

$- 45 x + 18 x^{2}$