Basic Math Examples

$3 a - 3 \div 27 a^{3} - 48 a^{2} - 21$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$3 a - \frac{3}{27 a^{3}} - 48 a^{2} - 21$

Step 1.2

Cancel the common factor of $3$ and $27$ .

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Step 1.2.1

Factor $3$ out of $3$ .

$3 a - \frac{3 (1)}{27 a^{3}} - 48 a^{2} - 21$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $3$ out of $27 a^{3}$ .

$3 a - \frac{3 (1)}{3 (9 a^{3})} - 48 a^{2} - 21$

Step 1.2.2.2

Cancel the common factor.

$3 a - \frac{3 \cdot 1}{3 (9 a^{3})} - 48 a^{2} - 21$

Step 1.2.2.3

Rewrite the expression.

$3 a - \frac{1}{9 a^{3}} - 48 a^{2} - 21$

$3 a - \frac{1}{9 a^{3}} - 48 a^{2} - 21$

$3 a - \frac{1}{9 a^{3}} - 48 a^{2} - 21$

$3 a - \frac{1}{9 a^{3}} - 48 a^{2} - 21$

Step 2

Simplify the expression.

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Step 2.1

Move $- \frac{1}{9 a^{3}}$ .

$3 a - 48 a^{2} - \frac{1}{9 a^{3}} - 21$

Step 2.2

Reorder $3 a$ and $- 48 a^{2}$ .

$- 48 a^{2} + 3 a - \frac{1}{9 a^{3}} - 21$

$- 48 a^{2} + 3 a - \frac{1}{9 a^{3}} - 21$

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