Algebra Examples

${(\frac{2 x}{3 y - 1})}^{2}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 1.1

Apply the product rule to $\frac{2 x}{3 y - 1}$ .

$\frac{{(2 x)}^{2}}{{(3 y - 1)}^{2}}$

Step 1.2

Apply the product rule to $2 x$ .

$\frac{2^{2} x^{2}}{{(3 y - 1)}^{2}}$

Step 2

Raise $2$ to the power of $2$ .

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