Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

Rewrite ${(x - 1)}^{2}$ as $(x - 1) (x - 1)$ .

$(x - 1) (x - 1) + x - 1 + 4$

Step 3

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

Tap for more steps...

Step 3.1

Apply the distributive property.

$x (x - 1) - 1 (x - 1) + x - 1 + 4$

Step 3.2

Apply the distributive property.

$x \cdot x + x \cdot - 1 - 1 (x - 1) + x - 1 + 4$

Step 3.3

Apply the distributive property.

$x \cdot x + x \cdot - 1 - 1 x - 1 \cdot - 1 + x - 1 + 4$

Step 4

Simplify and combine like terms.

Tap for more steps...

Step 4.1

Simplify each term.

Tap for more steps...

Step 4.1.1

Multiply $x$ by $x$ .

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

Step 4.1.2

Move $- 1$ to the left of $x$ .

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

Step 4.1.3

Rewrite $- 1 x$ as $- x$ .

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

Step 4.1.4

Rewrite $- 1 x$ as $- x$ .

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

Step 4.1.5

Multiply $- 1$ by $- 1$ .

$x^{2} - x - x + 1 + x - 1 + 4$

Step 4.2

Subtract $x$ from $- x$ .

$x^{2} - 2 x + 1 + x - 1 + 4$

Step 5

Add $- 2 x$ and $x$ .

$x^{2} - x + 1 - 1 + 4$

Step 6

Subtract $1$ from $1$ .

$x^{2} - x + 0 + 4$

Step 7

Add $x^{2}$ and $0$ .

$x^{2} - x + 4$