Basic Math Examples

$10 (b - 2) + 12 k (- 2 + b)$

Step 1

Factor $2$ out of $10 (b - 2) + 12 k (- 2 + b)$ .

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Step 1.1

Factor $2$ out of $10 (b - 2)$ .

$2 (5 (b - 2)) + 12 k (- 2 + b)$

Step 1.2

Factor $2$ out of $12 k (- 2 + b)$ .

$2 (5 (b - 2)) + 2 (6 k (- 2 + b))$

Step 1.3

Factor $2$ out of $2 (5 (b - 2)) + 2 (6 k (- 2 + b))$ .

$2 (5 (b - 2) + 6 k (- 2 + b))$

Step 2

Apply the distributive property.

$2 (5 b + 5 \cdot - 2 + 6 k (- 2 + b))$

Step 3

Multiply $5$ by $- 2$ .

$2 (5 b - 10 + 6 k (- 2 + b))$

Step 4

Apply the distributive property.

$2 (5 b - 10 + 6 k \cdot - 2 + 6 k b)$

Step 5

Multiply $- 2$ by $6$ .

$2 (5 b - 10 - 12 k + 6 k b)$

Step 6

Factor.

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Step 6.1

Rewrite $5 b - 10 - 12 k + 6 k b$ in a factored form.

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Step 6.1.1

Factor out the greatest common factor from each group.

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Step 6.1.1.1

Group the first two terms and the last two terms.

$2 ((5 b - 10) - 12 k + 6 k b)$

Step 6.1.1.2

Factor out the greatest common factor (GCF) from each group.

$2 (5 (b - 2) + 6 k (b - 2))$

Step 6.1.2

Factor the polynomial by factoring out the greatest common factor, $b - 2$ .

$2 ((b - 2) (5 + 6 k))$

Step 6.2

Remove unnecessary parentheses.

$2 (b - 2) (5 + 6 k)$