Simplify (10-2x)(6-2x)(x)

$(10 - 2 x) (6 - 2 x) (x)$

Expand $(10 - 2 x) (6 - 2 x)$ using the FOIL Method.

Apply the distributive property.

$(10 (6 - 2 x) - 2 x (6 - 2 x)) x$

Apply the distributive property.

$(10 \cdot 6 + 10 (- 2 x) - 2 x (6 - 2 x)) x$

Apply the distributive property.

$(10 \cdot 6 + 10 (- 2 x) - 2 x \cdot 6 - 2 x (- 2 x)) x$

Simplify and combine like terms.

Simplify each term.

Multiply $10$ by $6$ .

$(60 + 10 (- 2 x) - 2 x \cdot 6 - 2 x (- 2 x)) x$

Multiply $- 2$ by $10$ .

$(60 - 20 x - 2 x \cdot 6 - 2 x (- 2 x)) x$

Multiply $6$ by $- 2$ .

$(60 - 20 x - 12 x - 2 x (- 2 x)) x$

Rewrite using the commutative property of multiplication.

$(60 - 20 x - 12 x - 2 \cdot - 2 x \cdot x) x$

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

Move $x$ .

$(60 - 20 x - 12 x - 2 \cdot - 2 (x \cdot x)) x$

Multiply $x$ by $x$ .

$(60 - 20 x - 12 x - 2 \cdot - 2 x^{2}) x$

Multiply $- 2$ by $- 2$ .

$(60 - 20 x - 12 x + 4 x^{2}) x$

Subtract $12 x$ from $- 20 x$ .

$(60 - 32 x + 4 x^{2}) x$

Apply the distributive property.

$60 x - 32 x \cdot x + 4 x^{2} x$

Simplify.

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

Move $x$ .

$60 x - 32 (x \cdot x) + 4 x^{2} x$

Multiply $x$ by $x$ .

$60 x - 32 x^{2} + 4 x^{2} x$

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

Move $x$ .

$60 x - 32 x^{2} + 4 (x \cdot x^{2})$

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

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

$60 x - 32 x^{2} + 4 (x^{1} x^{2})$

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

$60 x - 32 x^{2} + 4 x^{1 + 2}$

Add $1$ and $2$ .

$60 x - 32 x^{2} + 4 x^{3}$