Basic Math Examples

$\frac{y^{2} - y^{2} - 20}{y^{2} \cdot (9 y) + 20}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract $y^{2}$ from $y^{2}$ .

$\frac{0 - 20}{y^{2} \cdot (9 y) + 20}$

Step 1.2

Subtract $20$ from $0$ .

$\frac{- 20}{y^{2} \cdot (9 y) + 20}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite using the commutative property of multiplication.

$\frac{- 20}{9 y^{2} y + 20}$

Step 2.2

Multiply $y^{2}$ by $y$ by adding the exponents.

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Step 2.2.1

Move $y$ .

$\frac{- 20}{9 (y \cdot y^{2}) + 20}$

Step 2.2.2

Multiply $y$ by $y^{2}$ .

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Step 2.2.2.1

Raise $y$ to the power of $1$ .

$\frac{- 20}{9 (y^{1} y^{2}) + 20}$

Step 2.2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{- 20}{9 y^{1 + 2} + 20}$

Step 2.2.3

Add $1$ and $2$ .

$\frac{- 20}{9 y^{3} + 20}$

Step 3

Move the negative in front of the fraction.

$- \frac{20}{9 y^{3} + 20}$