Algebra Examples

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

Step 1

Simplify the expression.

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Step 1.1

Remove parentheses.

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

Step 1.2

Add $12$ and $15$ .

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

Step 2

Add $8 k^{3}$ and $5 k^{3}$ .

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

Step 3

Subtract $k$ from $3 k$ .

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

Step 4

Add $- 4 k^{2}$ and $2 k^{2}$ .

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

Step 5

Move $2 k$ .

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