Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

Subtract $6 x^{3}$ from $- 6 x^{3}$ .

$- 12 x^{3} + 2 x^{2} + 4 + x^{4} - 2 x$

Step 3

Simplify the expression.

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Step 3.1

Move $4$ .

$- 12 x^{3} + 2 x^{2} + x^{4} - 2 x + 4$

Step 3.2

Move $2 x^{2}$ .

$- 12 x^{3} + x^{4} + 2 x^{2} - 2 x + 4$

Step 3.3

Reorder $- 12 x^{3}$ and $x^{4}$ .

$x^{4} - 12 x^{3} + 2 x^{2} - 2 x + 4$