Algebra Examples

$14 k^{2} (10 k^{2} + 5) - 2 k (10 k^{2} + 5)$

Step 1

Factor $2 k (10 k^{2} + 5)$ out of $14 k^{2} (10 k^{2} + 5) - 2 k (10 k^{2} + 5)$ .

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Step 1.1

Factor $2 k (10 k^{2} + 5)$ out of $14 k^{2} (10 k^{2} + 5)$ .

$2 k (10 k^{2} + 5) (7 k) - 2 k (10 k^{2} + 5)$

Step 1.2

Factor $2 k (10 k^{2} + 5)$ out of $- 2 k (10 k^{2} + 5)$ .

$2 k (10 k^{2} + 5) (7 k) + 2 k (10 k^{2} + 5) (- 1)$

Step 1.3

Factor $2 k (10 k^{2} + 5)$ out of $2 k (10 k^{2} + 5) (7 k) + 2 k (10 k^{2} + 5) (- 1)$ .

$2 k (10 k^{2} + 5) (7 k - 1)$

Step 2

Factor.

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Step 2.1

Factor $5$ out of $10 k^{2} + 5$ .

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Step 2.1.1

Factor $5$ out of $10 k^{2}$ .

$2 k (5 (2 k^{2}) + 5) (7 k - 1)$

Step 2.1.2

Factor $5$ out of $5$ .

$2 k (5 (2 k^{2}) + 5 (1)) (7 k - 1)$

Step 2.1.3

Factor $5$ out of $5 (2 k^{2}) + 5 (1)$ .

$2 k (5 (2 k^{2} + 1)) (7 k - 1)$

Step 2.2

Remove unnecessary parentheses.

$2 k \cdot 5 (2 k^{2} + 1) (7 k - 1)$

Step 3

Multiply $5$ by $2$ .

$10 k (2 k^{2} + 1) (7 k - 1)$