Algebra Examples

$(7 + 9 x^{4}) - (3 x^{5} + 8 + 2 x^{4})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 + 9 x^{4} - (3 x^{5}) - 1 \cdot 8 - (2 x^{4})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $3$ by $- 1$ .

$7 + 9 x^{4} - 3 x^{5} - 1 \cdot 8 - (2 x^{4})$

Step 1.2.2

Multiply $- 1$ by $8$ .

$7 + 9 x^{4} - 3 x^{5} - 8 - (2 x^{4})$

Step 1.2.3

Multiply $2$ by $- 1$ .

$7 + 9 x^{4} - 3 x^{5} - 8 - 2 x^{4}$

$7 + 9 x^{4} - 3 x^{5} - 8 - 2 x^{4}$

$7 + 9 x^{4} - 3 x^{5} - 8 - 2 x^{4}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $8$ from $7$ .

$9 x^{4} - 3 x^{5} - 1 - 2 x^{4}$

Step 2.2

Subtract $2 x^{4}$ from $9 x^{4}$ .

$7 x^{4} - 3 x^{5} - 1$

Step 2.3

Reorder $7 x^{4}$ and $- 3 x^{5}$ .

$- 3 x^{5} + 7 x^{4} - 1$

$- 3 x^{5} + 7 x^{4} - 1$

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