Basic Math Examples

$- 3 (y + 3) (y - 5)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$(- 3 y - 3 \cdot 3) (y - 5)$

Step 1.2

Multiply $- 3$ by $3$ .

$(- 3 y - 9) (y - 5)$

Step 2

Expand $(- 3 y - 9) (y - 5)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$- 3 y (y - 5) - 9 (y - 5)$

Step 2.2

Apply the distributive property.

$- 3 y \cdot y - 3 y \cdot - 5 - 9 (y - 5)$

Step 2.3

Apply the distributive property.

$- 3 y \cdot y - 3 y \cdot - 5 - 9 y - 9 \cdot - 5$

Step 3

Simplify and combine like terms.

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Step 3.1

Simplify each term.

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Step 3.1.1

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

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Step 3.1.1.1

Move $y$ .

$- 3 (y \cdot y) - 3 y \cdot - 5 - 9 y - 9 \cdot - 5$

Step 3.1.1.2

Multiply $y$ by $y$ .

$- 3 y^{2} - 3 y \cdot - 5 - 9 y - 9 \cdot - 5$

Step 3.1.2

Multiply $- 5$ by $- 3$ .

$- 3 y^{2} + 15 y - 9 y - 9 \cdot - 5$

Step 3.1.3

Multiply $- 9$ by $- 5$ .

$- 3 y^{2} + 15 y - 9 y + 45$

Step 3.2

Subtract $9 y$ from $15 y$ .

$- 3 y^{2} + 6 y + 45$