Basic Math Examples

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

Step 1

Remove parentheses.

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

Step 2

Add $7 a^{2}$ and $2 a^{2}$ .

$5 a^{3} + 9 a^{2} - 3 a + 4 + 3 a^{2} + 2 a - 4$

Step 3

Add $9 a^{2}$ and $3 a^{2}$ .

$5 a^{3} + 12 a^{2} - 3 a + 4 + 2 a - 4$

Step 4

Add $- 3 a$ and $2 a$ .

$5 a^{3} + 12 a^{2} - a + 4 - 4$

Step 5

Subtract $4$ from $4$ .

$5 a^{3} + 12 a^{2} - a + 0$

Step 6

Add $5 a^{3} + 12 a^{2} - a$ and $0$ .

$5 a^{3} + 12 a^{2} - a$

Step 7

Factor $a$ out of $5 a^{3} + 12 a^{2} - a$ .

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Step 7.1

Factor $a$ out of $5 a^{3}$ .

$a (5 a^{2}) + 12 a^{2} - a$

Step 7.2

Factor $a$ out of $12 a^{2}$ .

$a (5 a^{2}) + a (12 a) - a$

Step 7.3

Factor $a$ out of $- a$ .

$a (5 a^{2}) + a (12 a) + a \cdot - 1$

Step 7.4

Factor $a$ out of $a (5 a^{2}) + a (12 a)$ .

$a (5 a^{2} + 12 a) + a \cdot - 1$

Step 7.5

Factor $a$ out of $a (5 a^{2} + 12 a) + a \cdot - 1$ .

$a (5 a^{2} + 12 a - 1)$