Simplify x(1-x)

$x (1 - x)$

Step 1

Apply the distributive property.

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

Step 2

Simplify the expression.

Multiply $x$ by $1$ .

$x + x (- x)$

Rewrite using the commutative property of multiplication.

$x - x \cdot x$

Step 3

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$x - (x \cdot x)$

Multiply $x$ by $x$ .

$x - x^{2}$