Algebra Examples

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

Step 1

Add $x$ and $3 x$ .

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

Step 2

Add $y$ and $2 y$ .

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

Step 3

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

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Step 3.1

Apply the product rule to $\frac{4 x}{3 y}$ .

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

Step 3.2

Apply the product rule to $4 x$ .

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

Step 3.3

Apply the product rule to $3 y$ .

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

Step 4

Raise $4$ to the power of $2$ .

$\frac{16 x^{2}}{3^{2} y^{2}}$

Step 5

Raise $3$ to the power of $2$ .

$\frac{16 x^{2}}{9 y^{2}}$