Pre-Algebra Examples

(12 + 8 k^{3} + 3 k - 4 k^{2}) + (5 k^{3} + 15 - k + 2 k^{2})

$(12 + 8 k^{3} + 3 k - 4 k^{2}) + (5 k^{3} + 15 - k + 2 k^{2})$

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

Remove parentheses.

12 + 8 k^{3} + 3 k - 4 k^{2} + 5 k^{3} + 15 - k + 2 k^{2}

$12 + 8 k^{3} + 3 k - 4 k^{2} + 5 k^{3} + 15 - k + 2 k^{2}$

Step 1.2

Add

12

$12$ and

15

$15$ .

8 k^{3} + 3 k - 4 k^{2} + 5 k^{3} + 27 - k + 2 k^{2}

$8 k^{3} + 3 k - 4 k^{2} + 5 k^{3} + 27 - k + 2 k^{2}$

8 k^{3} + 3 k - 4 k^{2} + 5 k^{3} + 27 - k + 2 k^{2}

$8 k^{3} + 3 k - 4 k^{2} + 5 k^{3} + 27 - k + 2 k^{2}$

Step 2

Add

8 k^{3}

$8 k^{3}$ and

5 k^{3}

$5 k^{3}$ .

13 k^{3} + 3 k - 4 k^{2} + 27 - k + 2 k^{2}

$13 k^{3} + 3 k - 4 k^{2} + 27 - k + 2 k^{2}$

Step 3

Subtract

k

$k$ from

3 k

$3 k$ .

13 k^{3} + 2 k - 4 k^{2} + 27 + 2 k^{2}

$13 k^{3} + 2 k - 4 k^{2} + 27 + 2 k^{2}$

Step 4

Add

- 4 k^{2}

$- 4 k^{2}$ and

2 k^{2}

$2 k^{2}$ .

13 k^{3} + 2 k - 2 k^{2} + 27

$13 k^{3} + 2 k - 2 k^{2} + 27$