Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

Add $x^{2}$ and $4 x^{2}$ .

$5 x^{2} + x^{3} + x + x^{3} + x + 5 x + 5$

Step 3

Add $x^{3}$ and $x^{3}$ .

$5 x^{2} + 2 x^{3} + x + x + 5 x + 5$

Step 4

Add $x$ and $x$ .

$5 x^{2} + 2 x^{3} + 2 x + 5 x + 5$

Step 5

Add $2 x$ and $5 x$ .

$5 x^{2} + 2 x^{3} + 7 x + 5$

Step 6

Reorder $5 x^{2}$ and $2 x^{3}$ .

$2 x^{3} + 5 x^{2} + 7 x + 5$