Algebra Examples

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

Step 1

Multiply by $1$ .

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

Step 2

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

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

Step 3

Factor $a^{2}$ out of $3 a^{4}$ .

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

Step 4

Factor $a^{2}$ out of $- 4 a^{5}$ .

$a^{2} \cdot 1 + a^{2} (- 2 a) + a^{2} (3 a^{2}) + a^{2} (- 4 a^{3}) + 6 a^{6}$

Step 5

Factor $a^{2}$ out of $6 a^{6}$ .

$a^{2} \cdot 1 + a^{2} (- 2 a) + a^{2} (3 a^{2}) + a^{2} (- 4 a^{3}) + a^{2} (6 a^{4})$

Step 6

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

$a^{2} \cdot (1 - 2 a) + a^{2} (3 a^{2}) + a^{2} (- 4 a^{3}) + a^{2} (6 a^{4})$

Step 7

Factor $a^{2}$ out of $a^{2} \cdot (1 - 2 a) + a^{2} (3 a^{2})$ .

$a^{2} \cdot (1 - 2 a + 3 a^{2}) + a^{2} (- 4 a^{3}) + a^{2} (6 a^{4})$

Step 8

Factor $a^{2}$ out of $a^{2} \cdot (1 - 2 a + 3 a^{2}) + a^{2} (- 4 a^{3})$ .

$a^{2} \cdot (1 - 2 a + 3 a^{2} - 4 a^{3}) + a^{2} (6 a^{4})$

Step 9

Factor $a^{2}$ out of $a^{2} \cdot (1 - 2 a + 3 a^{2} - 4 a^{3}) + a^{2} (6 a^{4})$ .

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