Algebra Examples

$(2 k^{3} - 7 k^{2} + 3 k) - (- 4 k^{2} + 5 k)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 k^{3} - 7 k^{2} + 3 k - (- 4 k^{2}) - (5 k)$

Step 1.2

Multiply $- 4$ by $- 1$ .

$2 k^{3} - 7 k^{2} + 3 k + 4 k^{2} - (5 k)$

Step 1.3

Multiply $5$ by $- 1$ .

$2 k^{3} - 7 k^{2} + 3 k + 4 k^{2} - 5 k$

$2 k^{3} - 7 k^{2} + 3 k + 4 k^{2} - 5 k$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 7 k^{2}$ and $4 k^{2}$ .

$2 k^{3} - 3 k^{2} + 3 k - 5 k$

Step 2.2

Subtract $5 k$ from $3 k$ .

$2 k^{3} - 3 k^{2} - 2 k$

$2 k^{3} - 3 k^{2} - 2 k$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$