Basic Math Examples

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

Step 1

Simplify by multiplying through.

Tap for more steps...

Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify the expression.

Tap for more steps...

Step 1.2.1

Multiply $y$ by $y$ .

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

Step 1.2.2

Move $4$ to the left of $y$ .

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

Step 2

Expand $(y^{2} + 4 y) (y - 3)$ using the FOIL Method.

Tap for more steps...

Step 2.1

Apply the distributive property.

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

Step 2.2

Apply the distributive property.

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

Step 2.3

Apply the distributive property.

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

Step 3

Simplify and combine like terms.

Tap for more steps...

Step 3.1

Simplify each term.

Tap for more steps...

Step 3.1.1

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

Tap for more steps...

Step 3.1.1.1

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

Tap for more steps...

Step 3.1.1.1.1

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

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

Step 3.1.1.1.2

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

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

Step 3.1.1.2

Add $2$ and $1$ .

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

Step 3.1.2

Move $- 3$ to the left of $y^{2}$ .

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

Step 3.1.3

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

Tap for more steps...

Step 3.1.3.1

Move $y$ .

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

Step 3.1.3.2

Multiply $y$ by $y$ .

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

Step 3.1.4

Multiply $- 3$ by $4$ .

$y^{3} - 3 y^{2} + 4 y^{2} - 12 y$

Step 3.2

Add $- 3 y^{2}$ and $4 y^{2}$ .

$y^{3} + y^{2} - 12 y$