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 $1$ .

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