Basic Math Examples

$2 t^{2} + 14 t + 24 \div 4 t^{2} - 8 t - 60$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$2 t^{2} + 14 t + \frac{24}{4 t^{2}} - 8 t - 60$

Step 1.2

Cancel the common factor of $24$ and $4$ .

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Step 1.2.1

Factor $4$ out of $24$ .

$2 t^{2} + 14 t + \frac{4 \cdot 6}{4 t^{2}} - 8 t - 60$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $4$ out of $4 t^{2}$ .

$2 t^{2} + 14 t + \frac{4 \cdot 6}{4 (t^{2})} - 8 t - 60$

Step 1.2.2.2

Cancel the common factor.

$2 t^{2} + 14 t + \frac{4 \cdot 6}{4 t^{2}} - 8 t - 60$

Step 1.2.2.3

Rewrite the expression.

$2 t^{2} + 14 t + \frac{6}{t^{2}} - 8 t - 60$

Step 2

Subtract $8 t$ from $14 t$ .

$2 t^{2} + 6 t + \frac{6}{t^{2}} - 60$