Algebra Examples

$\frac{5 y^{3}}{x^{2}} + 4 x$

Step 1

To write $4 x$ as a fraction with a common denominator, multiply by $\frac{x^{2}}{x^{2}}$ .

$\frac{5 y^{3}}{x^{2}} + \frac{4 x \cdot x^{2}}{x^{2}}$

Step 2

Combine the numerators over the common denominator.

$\frac{5 y^{3} + 4 x \cdot x^{2}}{x^{2}}$

Step 3

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

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Step 3.1

Move $x^{2}$ .

$\frac{5 y^{3} + 4 (x^{2} x)}{x^{2}}$

Step 3.2

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

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Step 3.2.1

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

$\frac{5 y^{3} + 4 (x^{2} x^{1})}{x^{2}}$

Step 3.2.2

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

$\frac{5 y^{3} + 4 x^{2 + 1}}{x^{2}}$

Step 3.3

Add $2$ and $1$ .

$\frac{5 y^{3} + 4 x^{3}}{x^{2}}$