Basic Math Examples

$(- 8 y^{2} - 9 y - 4) + (2 y^{2} - 9 y + 8) - (8 y^{2} + 2 y - 9)$

Step 1

Remove parentheses.

$- 8 y^{2} - 9 y - 4 + 2 y^{2} - 9 y + 8 - (8 y^{2} + 2 y - 9)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 8 y^{2} - 9 y - 4 + 2 y^{2} - 9 y + 8 - (8 y^{2}) - (2 y) - - 9$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $8$ by $- 1$ .

$- 8 y^{2} - 9 y - 4 + 2 y^{2} - 9 y + 8 - 8 y^{2} - (2 y) - - 9$

Step 2.2.2

Multiply $2$ by $- 1$ .

$- 8 y^{2} - 9 y - 4 + 2 y^{2} - 9 y + 8 - 8 y^{2} - 2 y - - 9$

Step 2.2.3

Multiply $- 1$ by $- 9$ .

$- 8 y^{2} - 9 y - 4 + 2 y^{2} - 9 y + 8 - 8 y^{2} - 2 y + 9$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 8 y^{2}$ and $2 y^{2}$ .

$- 6 y^{2} - 9 y - 4 - 9 y + 8 - 8 y^{2} - 2 y + 9$

Step 3.2

Subtract $8 y^{2}$ from $- 6 y^{2}$ .

$- 14 y^{2} - 9 y - 4 - 9 y + 8 - 2 y + 9$

Step 3.3

Subtract $9 y$ from $- 9 y$ .

$- 14 y^{2} - 18 y - 4 + 8 - 2 y + 9$

Step 3.4

Subtract $2 y$ from $- 18 y$ .

$- 14 y^{2} - 20 y - 4 + 8 + 9$

Step 3.5

Simplify by adding numbers.

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Step 3.5.1

Add $- 4$ and $8$ .

$- 14 y^{2} - 20 y + 4 + 9$

Step 3.5.2

Add $4$ and $9$ .

$- 14 y^{2} - 20 y + 13$