Basic Math Examples

$2 y^{2} + 8 y - 24 \div 2 y^{2} - 8 y + 8$

Step 1

Combine the opposite terms in $2 y^{2} + 8 y - 24 \div 2 y^{2} - 8 y + 8$ .

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Step 1.1

Subtract $8 y$ from $8 y$ .

$2 y^{2} - 24 \div 2 y^{2} + 0 + 8$

Step 1.2

Add $2 y^{2} - 24 \div 2 y^{2}$ and $0$ .

$2 y^{2} - 24 \div 2 y^{2} + 8$

Step 2

Simplify each term.

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Step 2.1

Rewrite the division as a fraction.

$2 y^{2} - \frac{24}{2 y^{2}} + 8$

Step 2.2

Cancel the common factor of $24$ and $2$ .

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Step 2.2.1

Factor $2$ out of $24$ .

$2 y^{2} - \frac{2 \cdot 12}{2 y^{2}} + 8$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $2$ out of $2 y^{2}$ .

$2 y^{2} - \frac{2 \cdot 12}{2 (y^{2})} + 8$

Step 2.2.2.2

Cancel the common factor.

$2 y^{2} - \frac{2 \cdot 12}{2 y^{2}} + 8$

Step 2.2.2.3

Rewrite the expression.

$2 y^{2} - \frac{12}{y^{2}} + 8$