Algebra Examples

$(5 + 5 x^{3} + 2 x^{2}) - (8 x^{3} - 6 - 4 x^{2})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$5 + 5 x^{3} + 2 x^{2} - (8 x^{3}) - - 6 - (- 4 x^{2})$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $8$ by $- 1$ .

$5 + 5 x^{3} + 2 x^{2} - 8 x^{3} - - 6 - (- 4 x^{2})$

Step 1.2.2

Multiply $- 1$ by $- 6$ .

$5 + 5 x^{3} + 2 x^{2} - 8 x^{3} + 6 - (- 4 x^{2})$

Step 1.2.3

Multiply $- 4$ by $- 1$ .

$5 + 5 x^{3} + 2 x^{2} - 8 x^{3} + 6 + 4 x^{2}$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Add $5$ and $6$ .

$5 x^{3} + 2 x^{2} - 8 x^{3} + 11 + 4 x^{2}$

Step 2.2

Subtract $8 x^{3}$ from $5 x^{3}$ .

$- 3 x^{3} + 2 x^{2} + 11 + 4 x^{2}$

Step 2.3

Add $2 x^{2}$ and $4 x^{2}$ .

$- 3 x^{3} + 6 x^{2} + 11$