Pre-Algebra Examples

$(2 x^{3} - 4 x^{2} + 7 x + 1) + (- x^{3} + 2 x^{2} + 3 x - 5)$

Step 1

Remove parentheses.

$2 x^{3} - 4 x^{2} + 7 x + 1 - x^{3} + 2 x^{2} + 3 x - 5$

Step 2

Subtract $x^{3}$ from $2 x^{3}$ .

$x^{3} - 4 x^{2} + 7 x + 1 + 2 x^{2} + 3 x - 5$

Step 3

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

$x^{3} - 2 x^{2} + 7 x + 1 + 3 x - 5$

Step 4

Add $7 x$ and $3 x$ .

$x^{3} - 2 x^{2} + 10 x + 1 - 5$

Step 5

Subtract $5$ from $1$ .

$x^{3} - 2 x^{2} + 10 x - 4$