Algebra Examples

$x^{5} - x^{4} + x^{3} - x^{2} + x$

Step 1

Factor $x$ out of $x^{5}$ .

$x \cdot x^{4} - x^{4} + x^{3} - x^{2} + x$

Step 2

Factor $x$ out of $- x^{4}$ .

$x \cdot x^{4} + x (- x^{3}) + x^{3} - x^{2} + x$

Step 3

Factor $x$ out of $x^{3}$ .

$x \cdot x^{4} + x (- x^{3}) + x \cdot x^{2} - x^{2} + x$

Step 4

Factor $x$ out of $- x^{2}$ .

$x \cdot x^{4} + x (- x^{3}) + x \cdot x^{2} + x (- x) + x$

Step 5

Raise $x$ to the power of $1$ .

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

Step 6

Factor $x$ out of $x^{1}$ .

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

Step 7

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

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

Step 8

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

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

Step 9

Factor $x$ out of $x (x^{4} - x^{3} + x^{2}) + x (- x)$ .

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

Step 10

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

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