Finite Math Examples

$- (x - 3) (x + 2)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$(- x - - 3) (x + 2)$

Step 1.2

Multiply $- 1$ by $- 3$ .

$(- x + 3) (x + 2)$

$(- x + 3) (x + 2)$

Step 2

Expand $(- x + 3) (x + 2)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$- x (x + 2) + 3 (x + 2)$

Step 2.2

Apply the distributive property.

$- x \cdot x - x \cdot 2 + 3 (x + 2)$

Step 2.3

Apply the distributive property.

$- x \cdot x - x \cdot 2 + 3 x + 3 \cdot 2$

$- x \cdot x - x \cdot 2 + 3 x + 3 \cdot 2$

Step 3

Simplify and combine like terms.

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply $x$ by $x$ by adding the exponents.

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Step 3.1.1.1

Move $x$ .

$- (x \cdot x) - x \cdot 2 + 3 x + 3 \cdot 2$

Step 3.1.1.2

Multiply $x$ by $x$ .

$- x^{2} - x \cdot 2 + 3 x + 3 \cdot 2$

$- x^{2} - x \cdot 2 + 3 x + 3 \cdot 2$

Step 3.1.2

Multiply $2$ by $- 1$ .

$- x^{2} - 2 x + 3 x + 3 \cdot 2$

Step 3.1.3

Multiply $3$ by $2$ .

$- x^{2} - 2 x + 3 x + 6$

$- x^{2} - 2 x + 3 x + 6$

Step 3.2

Add $- 2 x$ and $3 x$ .

$- x^{2} + x + 6$

$- x^{2} + x + 6$

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