Basic Math Examples

4 u - 2 (u - 5 v)

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

Step 1

Factor

2

$2$ out of

4 u - 2 (u - 5 v)

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

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Step 1.1

Factor

2

$2$ out of

4 u

$4 u$ .

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

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

Step 1.2

Factor

2

$2$ out of

- 2 (u - 5 v)

$- 2 (u - 5 v)$ .

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

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

Step 1.3

Factor

2

$2$ out of

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

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

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

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

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

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

Step 2

Apply the distributive property.

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

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

Step 3

Multiply

- 5

$- 5$ by

- 1

$- 1$ .

2 (2 u - u + 5 v)

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

Step 4

Subtract

u

$u$ from

2 u

$2 u$ .

2 (u + 5 v)

$2 (u + 5 v)$

Step 5

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

Not prime