Pre-Algebra Examples

$- 5 (y - 3) (y + 6)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$(- 5 y - 5 \cdot - 3) (y + 6)$

Step 1.2

Multiply $- 5$ by $- 3$ .

$(- 5 y + 15) (y + 6)$

Step 2

Expand $(- 5 y + 15) (y + 6)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$- 5 y (y + 6) + 15 (y + 6)$

Step 2.2

Apply the distributive property.

$- 5 y \cdot y - 5 y \cdot 6 + 15 (y + 6)$

Step 2.3

Apply the distributive property.

$- 5 y \cdot y - 5 y \cdot 6 + 15 y + 15 \cdot 6$

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 $y$ .

$- 5 (y \cdot y) - 5 y \cdot 6 + 15 y + 15 \cdot 6$

Step 3.1.1.2

Multiply $y$ by $y$ .

$- 5 y^{2} - 5 y \cdot 6 + 15 y + 15 \cdot 6$

Step 3.1.2

Multiply $6$ by $- 5$ .

$- 5 y^{2} - 30 y + 15 y + 15 \cdot 6$

Step 3.1.3

Multiply $15$ by $6$ .

$- 5 y^{2} - 30 y + 15 y + 90$

Step 3.2

Add $- 30 y$ and $15 y$ .

$- 5 y^{2} - 15 y + 90$