Solve (k/2-k/3)(k/2+k/3)

$$( \frac { k } { 2 } - \frac { k } { 3 } ) ( \frac { k } { 2 } + \frac { k } { 3 } )$$

Evaluate

$$\frac{5k^{2}}{36}$$

Solution Steps

Combine \frac{k}{2} and -\frac{k}{3} to get \frac{1}{6}k.

$$\frac{1}{6}k\left(\frac{k}{2}+\frac{k}{3}\right)$$

Combine \frac{k}{2} and \frac{k}{3} to get \frac{5}{6}k.

$$\frac{1}{6}k\times \frac{5}{6}k$$

Multiply \frac{1}{6} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{6\times 6}kk$$

Do the multiplications in the fraction \frac{1\times 5}{6\times 6}.

$$\frac{5}{36}kk$$

Multiply k and k to get k^{2}.

$$\frac{5}{36}k^{2}$$

Expand

$$\frac{5k^{2}}{36}$$

Solution Steps

Combine \frac{k}{2} and -\frac{k}{3} to get \frac{1}{6}k.

$$\frac{1}{6}k\left(\frac{k}{2}+\frac{k}{3}\right)$$

Combine \frac{k}{2} and \frac{k}{3} to get \frac{5}{6}k.

$$\frac{1}{6}k\times \frac{5}{6}k$$

Multiply \frac{1}{6} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{6\times 6}kk$$

Do the multiplications in the fraction \frac{1\times 5}{6\times 6}.

$$\frac{5}{36}kk$$

Multiply k and k to get k^{2}.

$$\frac{5}{36}k^{2}$$