Basic Math Examples

$(6 y^{2} + 6 y - 12) - (4 y^{2} + 10 y + 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 y^{2} + 6 y - 12 - (4 y^{2}) - (10 y) - 1 \cdot 2$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $4$ by $- 1$ .

$6 y^{2} + 6 y - 12 - 4 y^{2} - (10 y) - 1 \cdot 2$

Step 1.2.2

Multiply $10$ by $- 1$ .

$6 y^{2} + 6 y - 12 - 4 y^{2} - 10 y - 1 \cdot 2$

Step 1.2.3

Multiply $- 1$ by $2$ .

$6 y^{2} + 6 y - 12 - 4 y^{2} - 10 y - 2$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $4 y^{2}$ from $6 y^{2}$ .

$2 y^{2} + 6 y - 12 - 10 y - 2$

Step 2.2

Subtract $10 y$ from $6 y$ .

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

Step 2.3

Subtract $2$ from $- 12$ .

$2 y^{2} - 4 y - 14$