Algebra Examples

$2 (4 k^{2} - 2 k) - 3 (- 6 k^{2} + 4) + 2 k (k - 1)$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$2 (4 k^{2}) + 2 (- 2 k) - 3 (- 6 k^{2} + 4) + 2 k (k - 1)$

Step 2.2

Multiply $4$ by $2$ .

$8 k^{2} + 2 (- 2 k) - 3 (- 6 k^{2} + 4) + 2 k (k - 1)$

Step 2.3

Multiply $- 2$ by $2$ .

$8 k^{2} - 4 k - 3 (- 6 k^{2} + 4) + 2 k (k - 1)$

Step 2.4

Apply the distributive property.

$8 k^{2} - 4 k - 3 (- 6 k^{2}) - 3 \cdot 4 + 2 k (k - 1)$

Step 2.5

Multiply $- 6$ by $- 3$ .

$8 k^{2} - 4 k + 18 k^{2} - 3 \cdot 4 + 2 k (k - 1)$

Step 2.6

Multiply $- 3$ by $4$ .

$8 k^{2} - 4 k + 18 k^{2} - 12 + 2 k (k - 1)$

Step 3

Add $8 k^{2}$ and $18 k^{2}$ .

$26 k^{2} - 4 k - 12 + 2 k (k - 1)$