Finite Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 (- x^{2}) + 4 (5 x) + 4 \cdot - 3 - (x^{2} - 5)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 1$ by $4$ .

$- 4 x^{2} + 4 (5 x) + 4 \cdot - 3 - (x^{2} - 5)$

Step 1.2.2

Multiply $5$ by $4$ .

$- 4 x^{2} + 20 x + 4 \cdot - 3 - (x^{2} - 5)$

Step 1.2.3

Multiply $4$ by $- 3$ .

$- 4 x^{2} + 20 x - 12 - (x^{2} - 5)$

$- 4 x^{2} + 20 x - 12 - (x^{2} - 5)$

Step 1.3

Apply the distributive property.

$- 4 x^{2} + 20 x - 12 - x^{2} - - 5$

Step 1.4

Multiply $- 1$ by $- 5$ .

$- 4 x^{2} + 20 x - 12 - x^{2} + 5$

$- 4 x^{2} + 20 x - 12 - x^{2} + 5$

Step 2

Simplify by adding terms.

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Step 2.1

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

$- 5 x^{2} + 20 x - 12 + 5$

Step 2.2

Add $- 12$ and $5$ .

$- 5 x^{2} + 20 x - 7$

$- 5 x^{2} + 20 x - 7$

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