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

$3 x (5 x - y)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

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

Reorder.

Rewrite using the commutative property of multiplication.

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

Rewrite using the commutative property of multiplication.

$3 \cdot 5 x \cdot x + 3 \cdot - 1 x y$

Step 2

Simplify each term.

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

Move $x$ .

$3 \cdot 5 (x \cdot x) + 3 \cdot - 1 x y$

Multiply $x$ by $x$ .

$3 \cdot 5 x^{2} + 3 \cdot - 1 x y$

Multiply $3$ by $5$ .

$15 x^{2} + 3 \cdot - 1 x y$

Multiply $3$ by $- 1$ .

$15 x^{2} - 3 x y$