Pre-Algebra Examples

$(4 x^{3} - 5 x^{2} + 3 x - 8) + (2 x^{3} - 2 x^{2} + 6 x + 12)$

Step 1

Remove parentheses.

$4 x^{3} - 5 x^{2} + 3 x - 8 + 2 x^{3} - 2 x^{2} + 6 x + 12$

Step 2

Add $4 x^{3}$ and $2 x^{3}$ .

$6 x^{3} - 5 x^{2} + 3 x - 8 - 2 x^{2} + 6 x + 12$

Step 3

Subtract $2 x^{2}$ from $- 5 x^{2}$ .

$6 x^{3} - 7 x^{2} + 3 x - 8 + 6 x + 12$

Step 4

Add $3 x$ and $6 x$ .

$6 x^{3} - 7 x^{2} + 9 x - 8 + 12$

Step 5

Add $- 8$ and $12$ .

$6 x^{3} - 7 x^{2} + 9 x + 4$