Simplify y^2(-4y+5)-6y^2

$y^{2} (- 4 y + 5) - 6 y^{2}$

Simplify each term.

Apply the distributive property.

$y^{2} (- 4 y) + y^{2} \cdot 5 - 6 y^{2}$

Rewrite using the commutative property of multiplication.

$- 4 y^{2} y + y^{2} \cdot 5 - 6 y^{2}$

Move $5$ to the left of $y^{2}$ .

$- 4 y^{2} y + 5 \cdot y^{2} - 6 y^{2}$

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

Move $y$ .

$- 4 (y \cdot y^{2}) + 5 \cdot y^{2} - 6 y^{2}$

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

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

$- 4 (y^{1} y^{2}) + 5 \cdot y^{2} - 6 y^{2}$

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

$- 4 y^{1 + 2} + 5 \cdot y^{2} - 6 y^{2}$

Add $1$ and $2$ .

$- 4 y^{3} + 5 \cdot y^{2} - 6 y^{2}$

$- 4 y^{3} + 5 y^{2} - 6 y^{2}$

Subtract $6 y^{2}$ from $5 y^{2}$ .

$- 4 y^{3} - y^{2}$