Finite Math Examples

$35 x^{2} \cdot (6 x) - 8$

Step 1

The polynomial cannot be factored using the grouping method. Try a different method, or if you aren't sure, choose Factor.

The polynomial cannot be factored using the grouping method.

Step 2

Factor $2$ out of $35 x^{2} \cdot (6 x) - 8$ .

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Step 2.1

Factor $2$ out of $35 x^{2} \cdot (6 x)$ .

$2 (35 x^{2} \cdot (3 x)) - 8$

Step 2.2

Factor $2$ out of $- 8$ .

$2 (35 x^{2} \cdot (3 x)) + 2 (- 4)$

Step 2.3

Factor $2$ out of $2 (35 x^{2} \cdot (3 x)) + 2 (- 4)$ .

$2 (35 x^{2} \cdot (3 x) - 4)$

Step 3

Rewrite using the commutative property of multiplication.

$2 (35 \cdot 3 x^{2} x - 4)$

Step 4

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

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Step 4.1

Move $x$ .

$2 (35 \cdot 3 (x \cdot x^{2}) - 4)$

Step 4.2

Multiply $x$ by $x^{2}$ .

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Step 4.2.1

Raise $x$ to the power of $1$ .

$2 (35 \cdot 3 (x^{1} x^{2}) - 4)$

Step 4.2.2

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

$2 (35 \cdot 3 x^{1 + 2} - 4)$

Step 4.3

Add $1$ and $2$ .

$2 (35 \cdot 3 x^{3} - 4)$

Step 5

Multiply $35$ by $3$ .

$2 (105 x^{3} - 4)$