Algebra Examples

$(8 k + k^{2} - 6) - (- 10 k + 7 - 2 k^{2})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$8 k + k^{2} - 6 - (- 10 k) - 1 \cdot 7 - (- 2 k^{2})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 10$ by $- 1$ .

$8 k + k^{2} - 6 + 10 k - 1 \cdot 7 - (- 2 k^{2})$

Step 1.2.2

Multiply $- 1$ by $7$ .

$8 k + k^{2} - 6 + 10 k - 7 - (- 2 k^{2})$

Step 1.2.3

Multiply $- 2$ by $- 1$ .

$8 k + k^{2} - 6 + 10 k - 7 + 2 k^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Add $8 k$ and $10 k$ .

$18 k + k^{2} - 6 - 7 + 2 k^{2}$

Step 2.2

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

$18 k + 3 k^{2} - 6 - 7$

Step 2.3

Subtract $7$ from $- 6$ .

$18 k + 3 k^{2} - 13$