Solve (z-1/6)(z+1/6)

$$( z - \frac { 1 } { 6 } ) ( z + \frac { 1 } { 6 } )$$

Evaluate

$$z^{2}-\frac{1}{36}$$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$z^{2}-\left(\frac{1}{6}\right)^{2}$$

Calculate \frac{1}{6} to the power of 2 and get \frac{1}{36}.

$$z^{2}-\frac{1}{36}$$

Expand

$$z^{2}-\frac{1}{36}$$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$z^{2}-\left(\frac{1}{6}\right)^{2}$$

Calculate \frac{1}{6} to the power of 2 and get \frac{1}{36}.

$$z^{2}-\frac{1}{36}$$