Simplify x(x+1)-x^2-x+6

$x (x + 1) - x^{2} - x + 6$

Step 1

Simplify each term.

Apply the distributive property.

$x \cdot x + x \cdot 1 - x^{2} - x + 6$

Multiply $x$ by $x$ .

$x^{2} + x \cdot 1 - x^{2} - x + 6$

Multiply $x$ by $1$ .

$x^{2} + x - x^{2} - x + 6$

Step 2

Simplify by adding terms.

Combine the opposite terms in $x^{2} + x - x^{2} - x + 6$ .

Subtract $x^{2}$ from $x^{2}$ .

$x + 0 - x + 6$

Add $x$ and $0$ .

$x - x + 6$

Subtract $x$ from $x$ .

$0 + 6$

Add $0$ and $6$ .

$6$