Basic Math Examples

$- 3 (y - 7) (y - 4)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$(- 3 y - 3 \cdot - 7) (y - 4)$

Step 1.2

Multiply $- 3$ by $- 7$ .

$(- 3 y + 21) (y - 4)$

Step 2

Expand $(- 3 y + 21) (y - 4)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$- 3 y (y - 4) + 21 (y - 4)$

Step 2.2

Apply the distributive property.

$- 3 y \cdot y - 3 y \cdot - 4 + 21 (y - 4)$

Step 2.3

Apply the distributive property.

$- 3 y \cdot y - 3 y \cdot - 4 + 21 y + 21 \cdot - 4$

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 $y$ .

$- 3 (y \cdot y) - 3 y \cdot - 4 + 21 y + 21 \cdot - 4$

Step 3.1.1.2

Multiply $y$ by $y$ .

$- 3 y^{2} - 3 y \cdot - 4 + 21 y + 21 \cdot - 4$

Step 3.1.2

Multiply $- 4$ by $- 3$ .

$- 3 y^{2} + 12 y + 21 y + 21 \cdot - 4$

Step 3.1.3

Multiply $21$ by $- 4$ .

$- 3 y^{2} + 12 y + 21 y - 84$

Step 3.2

Add $12 y$ and $21 y$ .

$- 3 y^{2} + 33 y - 84$