Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $6$ by $- 1$ .

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

Step 1.2.2

Multiply $- 3$ by $- 1$ .

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

Step 1.2.3

Multiply $- 1$ by $- 8$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $6 x^{4}$ from $9 x^{4}$ .

$3 x^{4} + x^{2} + 3 x^{2} + 8$

Step 2.2

Add $x^{2}$ and $3 x^{2}$ .

$3 x^{4} + 4 x^{2} + 8$

$3 x^{4} + 4 x^{2} + 8$

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