Algebra Examples

$(5 x^{3} + 4 x^{2}) - (6 x^{2} - 2 x - 9)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 x^{3} + 4 x^{2} - (6 x^{2}) - (- 2 x) - - 9$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $6$ by $- 1$ .

$5 x^{3} + 4 x^{2} - 6 x^{2} - (- 2 x) - - 9$

Step 1.2.2

Multiply $- 2$ by $- 1$ .

$5 x^{3} + 4 x^{2} - 6 x^{2} + 2 x - - 9$

Step 1.2.3

Multiply $- 1$ by $- 9$ .

$5 x^{3} + 4 x^{2} - 6 x^{2} + 2 x + 9$

$5 x^{3} + 4 x^{2} - 6 x^{2} + 2 x + 9$

$5 x^{3} + 4 x^{2} - 6 x^{2} + 2 x + 9$

Step 2

Subtract $6 x^{2}$ from $4 x^{2}$ .

$5 x^{3} - 2 x^{2} + 2 x + 9$

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