Algebra Examples

${(\frac{x (x + 1)}{2})}^{2}$

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 $\frac{x (x + 1)}{2}$ .

$\frac{{(x (x + 1))}^{2}}{2^{2}}$

Step 1.2

Apply the product rule to $x (x + 1)$ .

$\frac{x^{2} {(x + 1)}^{2}}{2^{2}}$

Step 2

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

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