Pre-Algebra Examples

$x (x^{2} + 4 x - 3)$

Step 1

Apply the distributive property.

$x \cdot x^{2} + x (4 x) + x \cdot - 3$

Step 2

Simplify.

Tap for more steps...

Step 2.1

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

Tap for more steps...

Step 2.1.1

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

Tap for more steps...

Step 2.1.1.1

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

$x^{1} x^{2} + x (4 x) + x \cdot - 3$

Step 2.1.1.2

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

$x^{1 + 2} + x (4 x) + x \cdot - 3$

Step 2.1.2

Add $1$ and $2$ .

$x^{3} + x (4 x) + x \cdot - 3$

Step 2.2

Rewrite using the commutative property of multiplication.

$x^{3} + 4 x \cdot x + x \cdot - 3$

Step 2.3

Move $- 3$ to the left of $x$ .

$x^{3} + 4 x \cdot x - 3 \cdot x$

Step 3

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

Tap for more steps...

Step 3.1

Move $x$ .

$x^{3} + 4 (x \cdot x) - 3 \cdot x$

Step 3.2

Multiply $x$ by $x$ .

$x^{3} + 4 x^{2} - 3 \cdot x$

$x^{3} + 4 x^{2} - 3 x$