Algebra Examples

$3 y (4 y - 3)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$3 y (4 y) + 3 y \cdot - 3$

Step 1.2

Simplify the expression.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$3 \cdot 4 y \cdot y + 3 y \cdot - 3$

Step 1.2.2

Multiply $- 3$ by $3$ .

$3 \cdot 4 y \cdot y - 9 y$

Step 2

Simplify each term.

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Step 2.1

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

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Step 2.1.1

Move $y$ .

$3 \cdot 4 (y \cdot y) - 9 y$

Step 2.1.2

Multiply $y$ by $y$ .

$3 \cdot 4 y^{2} - 9 y$

Step 2.2

Multiply $3$ by $4$ .

$12 y^{2} - 9 y$