Finite Math Examples

$(6 k^{2} - 2 k) - (2 k - 7 k^{4} + 2 k^{3}) - (2 k + 7 k - 4 k^{4} + 8 k^{2})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 k^{2} - 2 k - (2 k) - (- 7 k^{4}) - (2 k^{3}) - (2 k + 7 k - 4 k^{4} + 8 k^{2})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 1$ .

$6 k^{2} - 2 k - 2 k - (- 7 k^{4}) - (2 k^{3}) - (2 k + 7 k - 4 k^{4} + 8 k^{2})$

Step 1.2.2

Multiply $- 7$ by $- 1$ .

$6 k^{2} - 2 k - 2 k + 7 k^{4} - (2 k^{3}) - (2 k + 7 k - 4 k^{4} + 8 k^{2})$

Step 1.2.3

Multiply $2$ by $- 1$ .

$6 k^{2} - 2 k - 2 k + 7 k^{4} - 2 k^{3} - (2 k + 7 k - 4 k^{4} + 8 k^{2})$

Step 1.3

Add $2 k$ and $7 k$ .

$6 k^{2} - 2 k - 2 k + 7 k^{4} - 2 k^{3} - (9 k - 4 k^{4} + 8 k^{2})$

Step 1.4

Apply the distributive property.

$6 k^{2} - 2 k - 2 k + 7 k^{4} - 2 k^{3} - (9 k) - (- 4 k^{4}) - (8 k^{2})$

Step 1.5

Simplify.

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Step 1.5.1

Multiply $9$ by $- 1$ .

$6 k^{2} - 2 k - 2 k + 7 k^{4} - 2 k^{3} - 9 k - (- 4 k^{4}) - (8 k^{2})$

Step 1.5.2

Multiply $- 4$ by $- 1$ .

$6 k^{2} - 2 k - 2 k + 7 k^{4} - 2 k^{3} - 9 k + 4 k^{4} - (8 k^{2})$

Step 1.5.3

Multiply $8$ by $- 1$ .

$6 k^{2} - 2 k - 2 k + 7 k^{4} - 2 k^{3} - 9 k + 4 k^{4} - 8 k^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $8 k^{2}$ from $6 k^{2}$ .

$- 2 k^{2} - 2 k - 2 k + 7 k^{4} - 2 k^{3} - 9 k + 4 k^{4}$

Step 2.2

Subtract $2 k$ from $- 2 k$ .

$- 2 k^{2} - 4 k + 7 k^{4} - 2 k^{3} - 9 k + 4 k^{4}$

Step 2.3

Subtract $9 k$ from $- 4 k$ .

$- 2 k^{2} + 7 k^{4} - 2 k^{3} - 13 k + 4 k^{4}$

Step 2.4

Add $7 k^{4}$ and $4 k^{4}$ .

$- 2 k^{2} + 11 k^{4} - 2 k^{3} - 13 k$

Step 2.5

Move $- 2 k^{2}$ .

$11 k^{4} - 2 k^{3} - 2 k^{2} - 13 k$