Algebra Examples

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

Step 1

Remove parentheses.

$5 x^{4} - 6 + 3 x + 2 x + 4 + x^{2} - 3 x^{4} + 6 x - 3 x^{3} + 3$

Step 2

Subtract $3 x^{4}$ from $5 x^{4}$ .

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

Step 3

Add $- 6$ and $4$ .

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

Step 4

Add $3 x$ and $2 x$ .

$2 x^{4} + 5 x - 2 + x^{2} + 6 x - 3 x^{3} + 3$

Step 5

Add $5 x$ and $6 x$ .

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

Step 6

Simplify the expression.

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Step 6.1

Add $- 2$ and $3$ .

$2 x^{4} + 11 x + x^{2} - 3 x^{3} + 1$

Step 6.2

Move $11 x$ .

$2 x^{4} + x^{2} - 3 x^{3} + 11 x + 1$

Step 6.3

Move $x^{2}$ .

$2 x^{4} - 3 x^{3} + x^{2} + 11 x + 1$