Basic Math Examples

$2 (3 y^{6} - 9 y^{2} + 2 y) - (5 y^{6} - 4 y)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 (3 y^{6}) + 2 (- 9 y^{2}) + 2 (2 y) - (5 y^{6} - 4 y)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $3$ by $2$ .

$6 y^{6} + 2 (- 9 y^{2}) + 2 (2 y) - (5 y^{6} - 4 y)$

Step 1.2.2

Multiply $- 9$ by $2$ .

$6 y^{6} - 18 y^{2} + 2 (2 y) - (5 y^{6} - 4 y)$

Step 1.2.3

Multiply $2$ by $2$ .

$6 y^{6} - 18 y^{2} + 4 y - (5 y^{6} - 4 y)$

Step 1.3

Apply the distributive property.

$6 y^{6} - 18 y^{2} + 4 y - (5 y^{6}) - (- 4 y)$

Step 1.4

Multiply $5$ by $- 1$ .

$6 y^{6} - 18 y^{2} + 4 y - 5 y^{6} - (- 4 y)$

Step 1.5

Multiply $- 4$ by $- 1$ .

$6 y^{6} - 18 y^{2} + 4 y - 5 y^{6} + 4 y$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $5 y^{6}$ from $6 y^{6}$ .

$y^{6} - 18 y^{2} + 4 y + 4 y$

Step 2.2

Add $4 y$ and $4 y$ .

$y^{6} - 18 y^{2} + 8 y$