Pre-Algebra Examples

$30 x^{5}$ , $110 x^{7} \cdot (60 x^{8})$

Step 1

Factor $10 x^{5}$ out of $30 x^{5} + 110 x^{7} \cdot (60 x^{8})$ .

Tap for more steps...

Step 1.1

Factor $10 x^{5}$ out of $30 x^{5}$ .

$10 x^{5} (3) + 110 x^{7} \cdot (60 x^{8})$

Step 1.2

Factor $10 x^{5}$ out of $110 x^{7} \cdot (60 x^{8})$ .

$10 x^{5} (3) + 10 x^{5} (11 x^{2} \cdot (60 x^{8}))$

Step 1.3

Factor $10 x^{5}$ out of $10 x^{5} (3) + 10 x^{5} (11 x^{2} \cdot (60 x^{8}))$ .

$10 x^{5} (3 + 11 x^{2} \cdot (60 x^{8}))$

Step 2

Combine exponents.

Tap for more steps...

Step 2.1

Multiply $60$ by $11$ .

$10 x^{5} (3 + 660 x^{2} \cdot x^{8})$

Step 2.2

Multiply $x^{2}$ by $x^{8}$ by adding the exponents.

Tap for more steps...

Step 2.2.1

Move $x^{8}$ .

$10 x^{5} (3 + 660 (x^{8} x^{2}))$

Step 2.2.2

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

$10 x^{5} (3 + 660 x^{8 + 2})$

Step 2.2.3

Add $8$ and $2$ .

$10 x^{5} (3 + 660 x^{10})$

Step 3

Factor.

Tap for more steps...

Step 3.1

Factor $3$ out of $3 + 660 x^{10}$ .

Tap for more steps...

Step 3.1.1

Factor $3$ out of $3$ .

$10 x^{5} (3 (1) + 660 x^{10})$

Step 3.1.2

Factor $3$ out of $660 x^{10}$ .

$10 x^{5} (3 (1) + 3 (220 x^{10}))$

Step 3.1.3

Factor $3$ out of $3 (1) + 3 (220 x^{10})$ .

$10 x^{5} (3 (1 + 220 x^{10}))$

Step 3.2

Remove unnecessary parentheses.

$10 x^{5} \cdot 3 (1 + 220 x^{10})$

Step 4

Multiply $3$ by $10$ .

$30 x^{5} (1 + 220 x^{10})$

Step 5

The greatest common factor $GCF$ is the term in front of the factored expression.

$30 x^{5}$