Basic Math Examples

$(6 w^{5} + 11 w^{2} - 2) - (8 w^{5} - 9 w^{2} + 19)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 w^{5} + 11 w^{2} - 2 - (8 w^{5}) - (- 9 w^{2}) - 1 \cdot 19$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $8$ by $- 1$ .

$6 w^{5} + 11 w^{2} - 2 - 8 w^{5} - (- 9 w^{2}) - 1 \cdot 19$

Step 1.2.2

Multiply $- 9$ by $- 1$ .

$6 w^{5} + 11 w^{2} - 2 - 8 w^{5} + 9 w^{2} - 1 \cdot 19$

Step 1.2.3

Multiply $- 1$ by $19$ .

$6 w^{5} + 11 w^{2} - 2 - 8 w^{5} + 9 w^{2} - 19$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $8 w^{5}$ from $6 w^{5}$ .

$- 2 w^{5} + 11 w^{2} - 2 + 9 w^{2} - 19$

Step 2.2

Add $11 w^{2}$ and $9 w^{2}$ .

$- 2 w^{5} + 20 w^{2} - 2 - 19$

Step 2.3

Subtract $19$ from $- 2$ .

$- 2 w^{5} + 20 w^{2} - 21$