Basic Math Examples

$4 u - 2 (u - 5 v)$

Step 1

Factor $2$ out of $4 u - 2 (u - 5 v)$ .

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Step 1.1

Factor $2$ out of $4 u$ .

$2 (2 u) - 2 (u - 5 v)$

Step 1.2

Factor $2$ out of $- 2 (u - 5 v)$ .

$2 (2 u) + 2 (- (u - 5 v))$

Step 1.3

Factor $2$ out of $2 (2 u) + 2 (- (u - 5 v))$ .

$2 (2 u - (u - 5 v))$

Step 2

Apply the distributive property.

$2 (2 u - u - (- 5 v))$

Step 3

Multiply $- 5$ by $- 1$ .

$2 (2 u - u + 5 v)$

Step 4

Subtract $u$ from $2 u$ .

$2 (u + 5 v)$

Step 5

Since the polynomial can be factored, it is not prime.

Not prime