Finite Math Examples

$(2 x^{3} - x + 5) - (x^{3} - 4 x^{2} - 3 x + 6)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$2 x^{3} - x + 5 - x^{3} - (- 4 x^{2}) - (- 3 x) - 1 \cdot 6$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $- 4$ by $- 1$ .

$2 x^{3} - x + 5 - x^{3} + 4 x^{2} - (- 3 x) - 1 \cdot 6$

Step 1.2.2

Multiply $- 3$ by $- 1$ .

$2 x^{3} - x + 5 - x^{3} + 4 x^{2} + 3 x - 1 \cdot 6$

Step 1.2.3

Multiply $- 1$ by $6$ .

$2 x^{3} - x + 5 - x^{3} + 4 x^{2} + 3 x - 6$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $x^{3}$ from $2 x^{3}$ .

$x^{3} - x + 5 + 4 x^{2} + 3 x - 6$

Step 2.2

Add $- x$ and $3 x$ .

$x^{3} + 2 x + 5 + 4 x^{2} - 6$

Step 2.3

Simplify the expression.

Tap for more steps...

Step 2.3.1

Subtract $6$ from $5$ .

$x^{3} + 2 x + 4 x^{2} - 1$

Step 2.3.2

Move $2 x$ .

$x^{3} + 4 x^{2} + 2 x - 1$