Algebra Examples

$(4 x^{3} - 3 x^{2} + 7 x - 2) + (x^{3} + 7 x^{2} - 4 x + 5)$

Step 1

Remove parentheses.

$4 x^{3} - 3 x^{2} + 7 x - 2 + x^{3} + 7 x^{2} - 4 x + 5$

Step 2

Add $4 x^{3}$ and $x^{3}$ .

$5 x^{3} - 3 x^{2} + 7 x - 2 + 7 x^{2} - 4 x + 5$

Step 3

Add $- 3 x^{2}$ and $7 x^{2}$ .

$5 x^{3} + 4 x^{2} + 7 x - 2 - 4 x + 5$

Step 4

Subtract $4 x$ from $7 x$ .

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

Step 5

Add $- 2$ and $5$ .

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