Basic Math Examples

$(8 c^{5} - 2 c^{2} + 19) - (5 c^{5} + 4 c^{2} - 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$8 c^{5} - 2 c^{2} + 19 - (5 c^{5}) - (4 c^{2}) - - 3$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $5$ by $- 1$ .

$8 c^{5} - 2 c^{2} + 19 - 5 c^{5} - (4 c^{2}) - - 3$

Step 1.2.2

Multiply $4$ by $- 1$ .

$8 c^{5} - 2 c^{2} + 19 - 5 c^{5} - 4 c^{2} - - 3$

Step 1.2.3

Multiply $- 1$ by $- 3$ .

$8 c^{5} - 2 c^{2} + 19 - 5 c^{5} - 4 c^{2} + 3$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $5 c^{5}$ from $8 c^{5}$ .

$3 c^{5} - 2 c^{2} + 19 - 4 c^{2} + 3$

Step 2.2

Subtract $4 c^{2}$ from $- 2 c^{2}$ .

$3 c^{5} - 6 c^{2} + 19 + 3$

Step 2.3

Add $19$ and $3$ .

$3 c^{5} - 6 c^{2} + 22$