Algebra Examples

(x - 2) (x - 1)

$(x - 2) (x - 1)$

Step 1

Expand

(x - 2) (x - 1)

$(x - 2) (x - 1)$ using the FOIL Method.

Tap for more steps...

Step 1.1

Apply the distributive property.

x (x - 1) - 2 (x - 1)

$x (x - 1) - 2 (x - 1)$

Step 1.2

Apply the distributive property.

x \cdot x + x \cdot - 1 - 2 (x - 1)

$x \cdot x + x \cdot - 1 - 2 (x - 1)$

Step 1.3

Apply the distributive property.

x \cdot x + x \cdot - 1 - 2 x - 2 \cdot - 1

$x \cdot x + x \cdot - 1 - 2 x - 2 \cdot - 1$

x \cdot x + x \cdot - 1 - 2 x - 2 \cdot - 1

$x \cdot x + x \cdot - 1 - 2 x - 2 \cdot - 1$

Step 2

Simplify and combine like terms.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Multiply

x

$x$ by

x

$x$ .

x^{2} + x \cdot - 1 - 2 x - 2 \cdot - 1

$x^{2} + x \cdot - 1 - 2 x - 2 \cdot - 1$

Step 2.1.2

Move

- 1

$- 1$ to the left of

x

$x$ .

x^{2} - 1 \cdot x - 2 x - 2 \cdot - 1

$x^{2} - 1 \cdot x - 2 x - 2 \cdot - 1$

Step 2.1.3

Rewrite

- 1 x

$- 1 x$ as

- x

$- x$ .

x^{2} - x - 2 x - 2 \cdot - 1

$x^{2} - x - 2 x - 2 \cdot - 1$

Step 2.1.4

Multiply

- 2

$- 2$ by

- 1

$- 1$ .

x^{2} - x - 2 x + 2

$x^{2} - x - 2 x + 2$

x^{2} - x - 2 x + 2

$x^{2} - x - 2 x + 2$

Step 2.2

Subtract

2 x

$2 x$ from

- x

$- x$ .

x^{2} - 3 x + 2

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

x^{2} - 3 x + 2

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

(x - 2) (x - 1)

$(x - 2) (x - 1)$

(

(

)

)

|

|

[

[

]

]

√

√





≥

≥





















7

7

8

8

9

9













≤

≤





















4

4

5

5

6

6

/

/

^

^

×

×

>

>









∩

∩

∪

∪





1

1

2

2

3

3

-

-

+

+

÷

÷

<

<









π

π

∞

∞



,

,

0

0

.

.

%

%



=

=









[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$