Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

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

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

Step 3

Add $- 4 a^{2}$ and $3 a^{2}$ .

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

Step 4

Simplify the expression.

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Step 4.1

Add $- 7$ and $5$ .

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

Step 4.2

Move $a$ .

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

Step 4.3

Move $- a^{2}$ .

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

Step 4.4

Reorder $a^{3}$ and $a^{4}$ .

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