Algebra Examples

$(- 7 x^{3} + 5 x^{2} - x + 6) - (- 8 x^{3} + x^{2} + 3)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$- 7 x^{3} + 5 x^{2} - x + 6 - (- 8 x^{3}) - x^{2} - 1 \cdot 3$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $- 8$ by $- 1$ .

$- 7 x^{3} + 5 x^{2} - x + 6 + 8 x^{3} - x^{2} - 1 \cdot 3$

Step 1.2.2

Multiply $- 1$ by $3$ .

$- 7 x^{3} + 5 x^{2} - x + 6 + 8 x^{3} - x^{2} - 3$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Add $- 7 x^{3}$ and $8 x^{3}$ .

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

Step 2.2

Subtract $x^{2}$ from $5 x^{2}$ .

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

Step 2.3

Subtract $3$ from $6$ .

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