Find the Product -3y^2z^2*(-2yz^2-3z)

$- 3 y^{2} z^{2} \cdot (- 2 y z^{2} - 3 z)$

Apply the distributive property.

$- 3 y^{2} z^{2} (- 2 y z^{2}) - 3 y^{2} z^{2} (- 3 z)$

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

Move $y$ .

$- 3 (y \cdot y^{2}) z^{2} (- 2 z^{2}) - 3 y^{2} z^{2} (- 3 z)$

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

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

$- 3 (y^{1} y^{2}) z^{2} (- 2 z^{2}) - 3 y^{2} z^{2} (- 3 z)$

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

$- 3 y^{1 + 2} z^{2} (- 2 z^{2}) - 3 y^{2} z^{2} (- 3 z)$

Add $1$ and $2$ .

$- 3 y^{3} z^{2} (- 2 z^{2}) - 3 y^{2} z^{2} (- 3 z)$

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

Move $z$ .

$- 3 y^{3} z^{2} (- 2 z^{2}) - 3 y^{2} (z \cdot z^{2}) \cdot - 3$

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

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

$- 3 y^{3} z^{2} (- 2 z^{2}) - 3 y^{2} (z^{1} z^{2}) \cdot - 3$

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

$- 3 y^{3} z^{2} (- 2 z^{2}) - 3 y^{2} z^{1 + 2} \cdot - 3$

Add $1$ and $2$ .

$- 3 y^{3} z^{2} (- 2 z^{2}) - 3 y^{2} z^{3} \cdot - 3$

Simplify each term.

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

Move $z^{2}$ .

$- 3 y^{3} (z^{2} z^{2}) \cdot - 2 - 3 y^{2} z^{3} \cdot - 3$

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

$- 3 y^{3} z^{2 + 2} \cdot - 2 - 3 y^{2} z^{3} \cdot - 3$

Add $2$ and $2$ .

$- 3 y^{3} z^{4} \cdot - 2 - 3 y^{2} z^{3} \cdot - 3$

Multiply $- 2$ by $- 3$ .

$6 y^{3} z^{4} - 3 y^{2} z^{3} \cdot - 3$

Multiply $- 3$ by $- 3$ .

$6 y^{3} z^{4} + 9 y^{2} z^{3}$