Basic Math Examples

$\frac{k + 3}{4 k - 2} \cdot (12 k^{2} + 2 K - 4)$

Step 1

Factor $2$ out of $4 k - 2$ .

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Step 1.1

Factor $2$ out of $4 k$ .

$\frac{k + 3}{2 (2 k) - 2} \cdot (12 k^{2} + 2 K - 4)$

Step 1.2

Factor $2$ out of $- 2$ .

$\frac{k + 3}{2 (2 k) + 2 (- 1)} \cdot (12 k^{2} + 2 K - 4)$

Step 1.3

Factor $2$ out of $2 (2 k) + 2 (- 1)$ .

$\frac{k + 3}{2 (2 k - 1)} \cdot (12 k^{2} + 2 K - 4)$

Step 2

Multiply $\frac{k + 3}{2 (2 k - 1)}$ by $12 k^{2} + 2 K - 4$ .

$\frac{(k + 3) (12 k^{2} + 2 K - 4)}{2 (2 k - 1)}$

Step 3

Cancel the common factor of $12 k^{2} + 2 K - 4$ and $2$ .

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Step 3.1

Factor $2$ out of $(k + 3) (12 k^{2} + 2 K - 4)$ .

$\frac{2 ((k + 3) (6 k^{2} + K - 2))}{2 (2 k - 1)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Cancel the common factor.

$\frac{2 ((k + 3) (6 k^{2} + K - 2))}{2 (2 k - 1)}$

Step 3.2.2

Rewrite the expression.

$\frac{(k + 3) (6 k^{2} + K - 2)}{2 k - 1}$