Algebra Examples

$x (2 x^{2} + 3 x)$

Step 1

Simplify by multiplying through.

Tap for more steps...

Step 1.1

Apply the distributive property.

$x (2 x^{2}) + x (3 x)$

Step 1.2

Reorder.

Tap for more steps...

Step 1.2.1

Rewrite using the commutative property of multiplication.

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

Step 1.2.2

Rewrite using the commutative property of multiplication.

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

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Multiply $x$ by $x^{2}$ by adding the exponents.

Tap for more steps...

Step 2.1.1

Move $x^{2}$ .

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

Step 2.1.2

Multiply $x^{2}$ by $x$ .

Tap for more steps...

Step 2.1.2.1

Raise $x$ to the power of $1$ .

$2 (x^{2} x^{1}) + 3 x \cdot x$

Step 2.1.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 x^{2 + 1} + 3 x \cdot x$

Step 2.1.3

Add $2$ and $1$ .

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

Step 2.2

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

Tap for more steps...

Step 2.2.1

Move $x$ .

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

Step 2.2.2

Multiply $x$ by $x$ .

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