Finite Math Examples

$y = 3 (x (x - 5) + 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$y = 3 (x \cdot x + x \cdot - 5 + 2)$

Step 1.2

Multiply $x$ by $x$ .

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

Step 1.3

Move $- 5$ to the left of $x$ .

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

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

Step 2

Apply the distributive property.

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

Step 3

Simplify.

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Step 3.1

Multiply $- 5$ by $3$ .

$y = 3 x^{2} - 15 x + 3 \cdot 2$

Step 3.2

Multiply $3$ by $2$ .

$y = 3 x^{2} - 15 x + 6$

$y = 3 x^{2} - 15 x + 6$

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