Basic Math Examples

$- 4 (p - 2 p^{2} + 1) - (p - 3 p^{2})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 4 p - 4 (- 2 p^{2}) - 4 \cdot 1 - (p - 3 p^{2})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 2$ by $- 4$ .

$- 4 p + 8 p^{2} - 4 \cdot 1 - (p - 3 p^{2})$

Step 1.2.2

Multiply $- 4$ by $1$ .

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

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply $- 3$ by $- 1$ .

$- 4 p + 8 p^{2} - 4 - p + 3 p^{2}$

$- 4 p + 8 p^{2} - 4 - p + 3 p^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $p$ from $- 4 p$ .

$- 5 p + 8 p^{2} - 4 + 3 p^{2}$

Step 2.2

Add $8 p^{2}$ and $3 p^{2}$ .

$- 5 p + 11 p^{2} - 4$

Step 2.3

Reorder $- 5 p$ and $11 p^{2}$ .

$11 p^{2} - 5 p - 4$

$11 p^{2} - 5 p - 4$

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