Pre-Algebra Examples

$(4 a^{4} - 6 a^{3} - 3 a^{2} + a + 1) + (5 a^{3} + 7 a^{2} + 2 a - 2)$

Step 1

Remove parentheses.

$4 a^{4} - 6 a^{3} - 3 a^{2} + a + 1 + 5 a^{3} + 7 a^{2} + 2 a - 2$

Step 2

Add

$- 6 a^{3}$ and

$5 a^{3}$ .

$4 a^{4} - a^{3} - 3 a^{2} + a + 1 + 7 a^{2} + 2 a - 2$

Step 3

Add

$- 3 a^{2}$ and

$7 a^{2}$ .

$4 a^{4} - a^{3} + 4 a^{2} + a + 1 + 2 a - 2$

Step 4

Add

$a$ and

$2 a$ .

$4 a^{4} - a^{3} + 4 a^{2} + 3 a + 1 - 2$

Step 5

Subtract

$2$ from

$1$ .

$4 a^{4} - a^{3} + 4 a^{2} + 3 a - 1$