Basic Math Examples

$- 5^{2} (3 a^{2} - 5 a + 3)$

Step 1

Simplify the expression.

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Step 1.1

Raise $5$ to the power of $2$ .

$- 1 \cdot 25 (3 a^{2} - 5 a + 3)$

Step 1.2

Multiply $- 1$ by $25$ .

$- 25 (3 a^{2} - 5 a + 3)$

$- 25 (3 a^{2} - 5 a + 3)$

Step 2

Apply the distributive property.

$- 25 (3 a^{2}) - 25 (- 5 a) - 25 \cdot 3$

Step 3

Simplify.

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Step 3.1

Multiply $3$ by $- 25$ .

$- 75 a^{2} - 25 (- 5 a) - 25 \cdot 3$

Step 3.2

Multiply $- 5$ by $- 25$ .

$- 75 a^{2} + 125 a - 25 \cdot 3$

Step 3.3

Multiply $- 25$ by $3$ .

$- 75 a^{2} + 125 a - 75$

$- 75 a^{2} + 125 a - 75$

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