Basic Math Examples

$(y^{2} - 2 y) - (12 y^{2} + 8 y + 10)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$y^{2} - 2 y - (12 y^{2}) - (8 y) - 1 \cdot 10$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $12$ by $- 1$ .

$y^{2} - 2 y - 12 y^{2} - (8 y) - 1 \cdot 10$

Step 1.2.2

Multiply $8$ by $- 1$ .

$y^{2} - 2 y - 12 y^{2} - 8 y - 1 \cdot 10$

Step 1.2.3

Multiply $- 1$ by $10$ .

$y^{2} - 2 y - 12 y^{2} - 8 y - 10$

$y^{2} - 2 y - 12 y^{2} - 8 y - 10$

$y^{2} - 2 y - 12 y^{2} - 8 y - 10$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $12 y^{2}$ from $y^{2}$ .

$- 11 y^{2} - 2 y - 8 y - 10$

Step 2.2

Subtract $8 y$ from $- 2 y$ .

$- 11 y^{2} - 10 y - 10$

$- 11 y^{2} - 10 y - 10$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$