Simplify -x(x-a)(x+b)

$- x (x - a) (x + b)$

Apply the distributive property.

$(- x \cdot x - x (- a)) (x + b)$

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

Move $x$ .

$(- (x \cdot x) - x (- a)) (x + b)$

Multiply $x$ by $x$ .

$(- x^{2} - x (- a)) (x + b)$

Simplify terms.

Rewrite using the commutative property of multiplication.

$(- x^{2} - 1 \cdot - 1 x a) (x + b)$

Simplify each term.

Multiply $- 1$ by $- 1$ .

$(- x^{2} + 1 x a) (x + b)$

Multiply $x$ by $1$ .

$(- x^{2} + x a) (x + b)$

Expand $(- x^{2} + x a) (x + b)$ using the FOIL Method.

Apply the distributive property.

$- x^{2} (x + b) + x a (x + b)$

Apply the distributive property.

$- x^{2} x - x^{2} b + x a (x + b)$

Apply the distributive property.

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

Simplify each term.

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

Move $x$ .

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

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

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

$- (x^{1} x^{2}) - x^{2} b + x a x + x a b$

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

$- x^{1 + 2} - x^{2} b + x a x + x a b$

Add $1$ and $2$ .

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

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

Move $x$ .

$- x^{3} - x^{2} b + x \cdot x a + x a b$

Multiply $x$ by $x$ .

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