Basic Math Examples

$(c^{4} + 11) (c^{6} - 5)$

Step 1

Expand $(c^{4} + 11) (c^{6} - 5)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$c^{4} (c^{6} - 5) + 11 (c^{6} - 5)$

Step 1.2

Apply the distributive property.

$c^{4} c^{6} + c^{4} \cdot - 5 + 11 (c^{6} - 5)$

Step 1.3

Apply the distributive property.

$c^{4} c^{6} + c^{4} \cdot - 5 + 11 c^{6} + 11 \cdot - 5$

Step 2

Simplify terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $c^{4}$ by $c^{6}$ by adding the exponents.

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Step 2.1.1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$c^{4 + 6} + c^{4} \cdot - 5 + 11 c^{6} + 11 \cdot - 5$

Step 2.1.1.2

Add $4$ and $6$ .

$c^{10} + c^{4} \cdot - 5 + 11 c^{6} + 11 \cdot - 5$

Step 2.1.2

Move $- 5$ to the left of $c^{4}$ .

$c^{10} - 5 \cdot c^{4} + 11 c^{6} + 11 \cdot - 5$

Step 2.1.3

Multiply $11$ by $- 5$ .

$c^{10} - 5 c^{4} + 11 c^{6} - 55$

Step 2.2

Move $- 5 c^{4}$ .

$c^{10} + 11 c^{6} - 5 c^{4} - 55$