Algebra Examples

$4 x^{2} - (8 x - 4 x^{2}) + 5 + (4 x - 10)$

Step 1

Remove parentheses.

$4 x^{2} - (8 x - 4 x^{2}) + 5 + 4 x - 10$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$4 x^{2} - (8 x) - (- 4 x^{2}) + 5 + 4 x - 10$

Step 2.2

Multiply $8$ by $- 1$ .

$4 x^{2} - 8 x - (- 4 x^{2}) + 5 + 4 x - 10$

Step 2.3

Multiply $- 4$ by $- 1$ .

$4 x^{2} - 8 x + 4 x^{2} + 5 + 4 x - 10$

$4 x^{2} - 8 x + 4 x^{2} + 5 + 4 x - 10$

Step 3

Simplify by adding terms.

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Step 3.1

Add $4 x^{2}$ and $4 x^{2}$ .

$8 x^{2} - 8 x + 5 + 4 x - 10$

Step 3.2

Add $- 8 x$ and $4 x$ .

$8 x^{2} - 4 x + 5 - 10$

Step 3.3

Subtract $10$ from $5$ .

$8 x^{2} - 4 x - 5$

$8 x^{2} - 4 x - 5$

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