Algebra Examples

$(10 k^{4} + 17 k^{3}) - (14 k^{3} - 2 k + 9 k^{4})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$10 k^{4} + 17 k^{3} - (14 k^{3}) - (- 2 k) - (9 k^{4})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $14$ by $- 1$ .

$10 k^{4} + 17 k^{3} - 14 k^{3} - (- 2 k) - (9 k^{4})$

Step 1.2.2

Multiply $- 2$ by $- 1$ .

$10 k^{4} + 17 k^{3} - 14 k^{3} + 2 k - (9 k^{4})$

Step 1.2.3

Multiply $9$ by $- 1$ .

$10 k^{4} + 17 k^{3} - 14 k^{3} + 2 k - 9 k^{4}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $9 k^{4}$ from $10 k^{4}$ .

$k^{4} + 17 k^{3} - 14 k^{3} + 2 k$

Step 2.2

Subtract $14 k^{3}$ from $17 k^{3}$ .

$k^{4} + 3 k^{3} + 2 k$