Algebra Examples

$(8 u^{3} - 9 u^{2} y) - (- 4 u y^{2} - 8 y^{3}) + (10 u^{2} y + 11 u y^{2})$

Step 1

Remove parentheses.

$(8 u^{3} - 9 u^{2} y) - (- 4 u y^{2} - 8 y^{3}) + 10 u^{2} y + 11 u y^{2}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$8 u^{3} - 9 u^{2} y - (- 4 u y^{2}) - (- 8 y^{3}) + 10 u^{2} y + 11 u y^{2}$

Step 2.2

Multiply $- 4$ by $- 1$ .

$8 u^{3} - 9 u^{2} y + 4 (u y^{2}) - (- 8 y^{3}) + 10 u^{2} y + 11 u y^{2}$

Step 2.3

Multiply $- 8$ by $- 1$ .

$8 u^{3} - 9 u^{2} y + 4 u y^{2} + 8 y^{3} + 10 u^{2} y + 11 u y^{2}$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 9 u^{2} y$ and $10 u^{2} y$ .

$8 u^{3} + 4 u y^{2} + 8 y^{3} + 1 u^{2} y + 11 u y^{2}$

Step 3.2

Multiply $u^{2}$ by $1$ .

$8 u^{3} + 4 u y^{2} + 8 y^{3} + u^{2} y + 11 u y^{2}$

Step 3.3

Add $4 u y^{2}$ and $11 u y^{2}$ .

$8 u^{3} + 8 y^{3} + u^{2} y + 15 u y^{2}$