Simplify 4y(y-1)-3y^2

$4 y (y - 1) - 3 y^{2}$

Step 1

Simplify each term.

Apply the distributive property.

$4 y \cdot y + 4 y \cdot - 1 - 3 y^{2}$

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$4 (y \cdot y) + 4 y \cdot - 1 - 3 y^{2}$

Multiply $y$ by $y$ .

$4 y^{2} + 4 y \cdot - 1 - 3 y^{2}$

$4 y^{2} + 4 y \cdot - 1 - 3 y^{2}$

Multiply $- 1$ by $4$ .

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

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

Step 2

Subtract $3 y^{2}$ from $4 y^{2}$ .

$y^{2} - 4 y$

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