Simplify -y^2(6y-8)+3y^3

$- y^{2} (6 y - 8) + 3 y^{3}$

Simplify each term.

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Apply the distributive property.

$- y^{2} (6 y) - y^{2} \cdot - 8 + 3 y^{3}$

Rewrite using the commutative property of multiplication.

$- 1 \cdot 6 (y^{2} y) - y^{2} \cdot - 8 + 3 y^{3}$

Multiply $- 8$ by $- 1$ .

$- 1 \cdot 6 (y^{2} y) + 8 y^{2} + 3 y^{3}$

Simplify each term.

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

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

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

$- 1 \cdot 6 (y^{2} y^{1}) + 8 y^{2} + 3 y^{3}$

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

$- 1 \cdot 6 y^{2 + 1} + 8 y^{2} + 3 y^{3}$

Add $2$ and $1$ .

$- 1 \cdot 6 y^{3} + 8 y^{2} + 3 y^{3}$

Multiply $- 1$ by $6$ .

$- 6 y^{3} + 8 y^{2} + 3 y^{3}$

Add $- 6 y^{3}$ and $3 y^{3}$ .

$- 3 y^{3} + 8 y^{2}$

Simplify -y^2(6y-8)+3y^3

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