Expand the Trigonometric Expression x(3x+2)

$x (3 x + 2)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

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

Reorder.

Rewrite using the commutative property of multiplication.

$3 x \cdot x + x \cdot 2$

Move $2$ to the left of $x$ .

$3 x \cdot x + 2 \cdot x$

Step 2

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

$3 x^{2} + 2 x$