Algebra Examples

$(- 6 k^{2} + 7 + 4 k^{3}) + (- 9 k^{3} + 3 k^{4} + 1)$

Step 1

Simplify the expression.

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Step 1.1

Remove parentheses.

$- 6 k^{2} + 7 + 4 k^{3} - 9 k^{3} + 3 k^{4} + 1$

Step 1.2

Add $7$ and $1$ .

$- 6 k^{2} + 4 k^{3} - 9 k^{3} + 3 k^{4} + 8$

Step 2

Subtract $9 k^{3}$ from $4 k^{3}$ .

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

Step 3

Simplify the expression.

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Step 3.1

Move $- 6 k^{2}$ .

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

Step 3.2

Reorder $- 5 k^{3}$ and $3 k^{4}$ .

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