Basic Math Examples

$10 y^{4} - 25 y^{3} - 15 y^{2} \div 5 y^{2}$

Step 1

Rewrite the division as a fraction.

$10 y^{4} - 25 y^{3} - \frac{15 y^{2}}{5 y^{2}}$

Step 2

Cancel the common factor of $15$ and $5$ .

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Step 2.1

Factor $5$ out of $15 y^{2}$ .

$10 y^{4} - 25 y^{3} - \frac{5 (3 y^{2})}{5 y^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $5 y^{2}$ .

$10 y^{4} - 25 y^{3} - \frac{5 (3 y^{2})}{5 (y^{2})}$

Step 2.2.2

Cancel the common factor.

$10 y^{4} - 25 y^{3} - \frac{5 (3 y^{2})}{5 y^{2}}$

Step 2.2.3

Rewrite the expression.

$10 y^{4} - 25 y^{3} - \frac{3 y^{2}}{y^{2}}$

Step 3

Cancel the common factor of $y^{2}$ .

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Step 3.1

Cancel the common factor.

$10 y^{4} - 25 y^{3} - \frac{3 y^{2}}{y^{2}}$

Step 3.2

Divide $3$ by $1$ .

$10 y^{4} - 25 y^{3} - 1 \cdot 3$

Step 4

Multiply $- 1$ by $3$ .

$10 y^{4} - 25 y^{3} - 3$