Basic Math Examples

$3 (t^{2} - \frac{5}{3} t + \frac{1}{3})$

Step 1

Simplify each term.

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Step 1.1

Combine $t$ and $\frac{5}{3}$ .

$3 (t^{2} - \frac{t \cdot 5}{3} + \frac{1}{3})$

Step 1.2

Move $5$ to the left of $t$ .

$3 (t^{2} - \frac{5 t}{3} + \frac{1}{3})$

$3 (t^{2} - \frac{5 t}{3} + \frac{1}{3})$

Step 2

Apply the distributive property.

$3 t^{2} + 3 (- \frac{5 t}{3}) + 3 (\frac{1}{3})$

Step 3

Simplify.

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Step 3.1

Cancel the common factor of $3$ .

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Step 3.1.1

Move the leading negative in $- \frac{5 t}{3}$ into the numerator.

$3 t^{2} + 3 \frac{- 5 t}{3} + 3 (\frac{1}{3})$

Step 3.1.2

Cancel the common factor.

$3 t^{2} + 3 \frac{- 5 t}{3} + 3 (\frac{1}{3})$

Step 3.1.3

Rewrite the expression.

$3 t^{2} - 5 t + 3 (\frac{1}{3})$

$3 t^{2} - 5 t + 3 (\frac{1}{3})$

Step 3.2

Cancel the common factor of $3$ .

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Step 3.2.1

Cancel the common factor.

$3 t^{2} - 5 t + 3 (\frac{1}{3})$

Step 3.2.2

Rewrite the expression.

$3 t^{2} - 5 t + 1$

$3 t^{2} - 5 t + 1$

$3 t^{2} - 5 t + 1$

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