Expand the Trigonometric Expression 5x(x-3y)

$5 x (x - 3 y)$

Step 1

Apply the distributive property.

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

Step 2

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

Move $x$ .

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

Multiply $x$ by $x$ .

$5 x^{2} + 5 x (- 3 y)$

Step 3

Rewrite using the commutative property of multiplication.

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

Step 4

Multiply $5$ by $- 3$ .

$5 x^{2} - 15 x y$