Algebra Examples

$(6 n^{2} + 11 n^{3} + 2 n) - (4 n - 3 + 5 n^{2})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$6 n^{2} + 11 n^{3} + 2 n - (4 n) - - 3 - (5 n^{2})$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $4$ by $- 1$ .

$6 n^{2} + 11 n^{3} + 2 n - 4 n - - 3 - (5 n^{2})$

Step 1.2.2

Multiply $- 1$ by $- 3$ .

$6 n^{2} + 11 n^{3} + 2 n - 4 n + 3 - (5 n^{2})$

Step 1.2.3

Multiply $5$ by $- 1$ .

$6 n^{2} + 11 n^{3} + 2 n - 4 n + 3 - 5 n^{2}$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $5 n^{2}$ from $6 n^{2}$ .

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

Step 2.2

Subtract $4 n$ from $2 n$ .

$n^{2} + 11 n^{3} - 2 n + 3$

Step 2.3

Reorder $n^{2}$ and $11 n^{3}$ .

$11 n^{3} + n^{2} - 2 n + 3$