Simplify x(x-x^2y)

$x (x - x^{2} y)$

Step 1

Apply the distributive property.

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

Step 2

Simplify the expression.

Multiply $x$ by $x$ .

$x^{2} + x (- x^{2} y)$

Rewrite using the commutative property of multiplication.

$x^{2} - x (x^{2} y)$

Step 3

Multiply $x$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$x^{2} - (x^{2} x) y$

Multiply $x^{2}$ by $x$ .

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

$x^{2} - (x^{2} x^{1}) y$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Add $2$ and $1$ .

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