Basic Math Examples

$(9 k - 9 - 12 k^{4}) - (4 k + k^{4} + 4) - 10 + 7 k$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$9 k - 9 - 12 k^{4} - (4 k) - k^{4} - 1 \cdot 4 - 10 + 7 k$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $4$ by $- 1$ .

$9 k - 9 - 12 k^{4} - 4 k - k^{4} - 1 \cdot 4 - 10 + 7 k$

Step 1.2.2

Multiply $- 1$ by $4$ .

$9 k - 9 - 12 k^{4} - 4 k - k^{4} - 4 - 10 + 7 k$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $4 k$ from $9 k$ .

$5 k - 9 - 12 k^{4} - k^{4} - 4 - 10 + 7 k$

Step 2.2

Add $5 k$ and $7 k$ .

$12 k - 9 - 12 k^{4} - k^{4} - 4 - 10$

Step 2.3

Subtract $4$ from $- 9$ .

$12 k - 12 k^{4} - k^{4} - 13 - 10$

Step 2.4

Subtract $k^{4}$ from $- 12 k^{4}$ .

$12 k - 13 k^{4} - 13 - 10$

Step 2.5

Simplify the expression.

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Step 2.5.1

Subtract $10$ from $- 13$ .

$12 k - 13 k^{4} - 23$

Step 2.5.2

Reorder $12 k$ and $- 13 k^{4}$ .

$- 13 k^{4} + 12 k - 23$