Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 1$ .

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

Step 1.2.2

Multiply $- - x$ .

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Step 1.2.2.1

Multiply $- 1$ by $- 1$ .

$4 x^{3} - 4 + 7 x - 2 x^{3} + 1 x - - 8$

Step 1.2.2.2

Multiply $x$ by $1$ .

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

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

Step 1.2.3

Multiply $- 1$ by $- 8$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2 x^{3}$ from $4 x^{3}$ .

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

Step 2.2

Add $- 4$ and $8$ .

$2 x^{3} + 7 x + x + 4$

Step 2.3

Add $7 x$ and $x$ .

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

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

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