Algebra Examples

$(6 y^{3} + 17 y - 3) - (4 y^{3} - 11 y + 9)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 y^{3} + 17 y - 3 - (4 y^{3}) - (- 11 y) - 1 \cdot 9$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $4$ by $- 1$ .

$6 y^{3} + 17 y - 3 - 4 y^{3} - (- 11 y) - 1 \cdot 9$

Step 1.2.2

Multiply $- 11$ by $- 1$ .

$6 y^{3} + 17 y - 3 - 4 y^{3} + 11 y - 1 \cdot 9$

Step 1.2.3

Multiply $- 1$ by $9$ .

$6 y^{3} + 17 y - 3 - 4 y^{3} + 11 y - 9$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $4 y^{3}$ from $6 y^{3}$ .

$2 y^{3} + 17 y - 3 + 11 y - 9$

Step 2.2

Add $17 y$ and $11 y$ .

$2 y^{3} + 28 y - 3 - 9$

Step 2.3

Subtract $9$ from $- 3$ .

$2 y^{3} + 28 y - 12$